**Addition of common difference in a series of numbers shortcut tricks :**

Addition of

Before doing anything we recommend you to do a math practice set. Write down twenty math problems related to this topic on a page. Solve first ten math problems according to basic math formula. You also need to keep track of the time. Write down the time taken by you to solve those questions. Now read our examples on addition of common difference in a series of numbers shortcut tricks and practice few questions. After this do remaining ten questions and apply shortcut formula on those math problems. Again keep track of the time. This time you will surely see improvement in your timing. But this is not all you need. If you need to improve your timing more then you need to practice more.

You all know that math portion is very much important in competitive exams. That doesn’t mean that other sections are not so important. You can get a good score only if you get a good score in math section. Only practice and practice can give you a good score. You should do your math problems within time with correctness, and only shortcut tricks can give you that success. Again it does not mean that you can’t do maths without using shortcut tricks. You may have that potential to do maths within time without using any shortcut tricks. But so many people can’t do this. So Addition of common difference in a series of numbers shortcut tricks here for those people. We always try to put all shortcut methods of the given topic. But it possible we miss any. We appreciate if you share that with us. Your little help will help so many needy.

In addition of series of numbers which has a common difference are required to add all numbers which combined in a group and no isues are arise whether it is common difference or how many numbers are need to add in that case we consider as some short of rule to obtain the desire result.

So apart from that you only need some mathematical simple calculation to obtain the answer.

Tricks

We need to add the large number with small number, After that multiply this add result by count of numbers in the series of numbers, at last we have to do that we divide the result by 2.

Now let find the addition of following given numbers

Example #1 – Addition of Common difference in a Series of Numbers

39 + 49 + 59 + 69 + 79 = ?

- 295
- 299
- 311
- 319

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (A)

**How to Solve**

- Add the largest number with the smallest number,

i.e, 79 + 39 = 118 - Then Count the total numbers present in the series. In this case it is 5.
- Then multiply the Added result with the Number count,

i.e, 118 x 5 = 590 - At last, divide the number by 2,

i.e, 590 / 2 =**295**.

**Rough Workspace**

Example #2 – Addition of Common difference in a Series of Numbers

36 + 44 + 52 + 60 = ?

- 187
- 192
- 198
- 204

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (B)

**How to Solve**

- Add the largest number with the smallest number,

i.e, 60 + 36 = 96 - Then Count the total numbers present in the series. In this case it is 4.
- Then multiply the Added result with the Number count,

i.e, 96 x 4 = 384 - At last, divide the number by 2,

i.e, 384 / 2 =**192**.

**Rough Workspace**

Example #3 – Addition of Common difference in a Series of Numbers

77 + 82 + 87 + 92 + 97 = ?

- 399
- 407
- 422
- 435

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (D)

**How to Solve**

- Add the largest number with the smallest number,

i.e, 97 + 77 = 174 - Then Count the total numbers present in the series. In this case it is 5.
- Then multiply the Added result with the Number count,

i.e, 174 x 5 = 870 - At last, divide the number by 2,

i.e, 870 / 2 =**435**.

**Rough Workspace**

Example #4 – Addition of Common difference in a Series of Numbers

88 + 77 + 66 + 55 + 44 + 33 = ?

- 363
- 377
- 382
- 395

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (A)

**How to Solve**

- Add the largest number with the smallest number,

i.e, 88 + 33 = 121 - Then Count the total numbers present in the series. In this case it is 6.
- Then multiply the Added result with the Number count,

i.e, 121 x 6 = 726 - At last, divide the number by 2,

i.e, 726 / 2 =**363**.

**Rough Workspace**

Example #5 – Addition of Common difference in a Series of Numbers

77 + 66 + 55 + 44 + 33 = ?

- 258
- 264
- 271
- 275

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (D)

**How to Solve**

- Add the largest number with the smallest number,

i.e, 77 + 33 = 110 - Then Count the total numbers present in the series. In this case it is 5.
- Then multiply the Added result with the Number count,

i.e, 110 x 5 = 550 - At last, divide the number by 2,

i.e, 550 / 2 =**275**.

**Rough Workspace**

Example #6 – Addition of Common difference in a Series of Numbers

111 + 98 + 85 + 72 + 59 = ?

- 425
- 431
- 439
- 448

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (A)

**How to Solve**

- Add the largest number with the smallest number,

i.e, 111 + 59 = 170 - Then Count the total numbers present in the series. In this case it is 5.
- Then multiply the Added result with the Number count,

i.e, 110 x 5 = 850 - At last, divide the number by 2,

i.e, 850 / 2 =**425**.

**Rough Workspace**

Example #7 – Addition of Common difference in a Series of Numbers

89 + 80 + 71 + 62 = ?

- 284
- 298
- 302
- 311

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (C)

**How to Solve**

- Add the largest number with the smallest number,

i.e, 89 + 62 = 151 - Then Count the total numbers present in the series. In this case it is 4.
- Then multiply the Added result with the Number count,

i.e, 151 x 4 = 604 - At last, divide the number by 2,

i.e, 604 / 2 =**302**.

**Rough Workspace**

Example #8 – Addition of Common difference in a Series of Numbers

22 + 33 + 44 + 55 + 66 = ?

- 218
- 220
- 231
- 341

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (B)

**How to Solve**

- Add the largest number with the smallest number,

i.e, 66 + 22 = 88 - Then Count the total numbers present in the series. In this case it is 5.
- Then multiply the Added result with the Number count,

i.e, 88 x 5 = 440 - At last, divide the number by 2,

i.e, 440 / 2 =**220**.

**Rough Workspace**

Example #9 – Addition of Common difference in a Series of Numbers

49 + 55 + 61 + 67 + 73 = ?

- 300
- 305
- 316
- 328

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (B)

**How to Solve**

- Add the largest number with the smallest number,

i.e, 73 + 49 = 122 - Then Count the total numbers present in the series. In this case it is 5.
- Then multiply the Added result with the Number count,

i.e, 122 x 5 = 610 - At last, divide the number by 2,

i.e, 610 / 2 = 305

Thus, 49 + 55 + 61 + 67 + 73 =**305**.

**Rough Workspace**

Example #10 – Addition of Common difference in a Series of Numbers

15 + 25 + 35 + 45 + 55 + 65 = ?

- 233
- 240
- 247
- 258

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (B)

**How to Solve**

- Add the largest number with the smallest number,

i.e, 65 + 15 = 80 - Then Count the total numbers present in the series. In this case it is 6.
- Then multiply the Added result with the Number count,

i.e, 80 x 6 = 480 - At last, divide the number by 2,

i.e, 480 / 2 =**240**.

**Rough Workspace**

**Few examples of Addition Shortcut Tricks:**

- Addition of Similar Digit Numbers Shortcut trick
- Addition of Similar Digit with Decimal Numbers Shortcut tricks
- Addition of number without Decimal in First number
- Addition of number without Decimal in second number
- Addition or sum of all consecutive numbers starting from 1
- Addition consecutive numbers shortcut tricks
- Sum of all odd numbers starting from 1
- Addition combination of decimal and whole no Tricks
- << Go back to Addition Shortcut main page

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This method does not follow all the numbers

Ex: 86+12+3+25+90+8 = 234

If this is solved using the above method one will not find the correct answer.

Regards,

Seeth@

This tricks only for common difference between numbers only…if between numbers differences is common then u apply this trick

its for series numbers not a single digits

is it possible for only five digits ya more also?

it is possible for more digits..multiply by no of digits in series instead of 5

ex 36,44,52,60,68,76(total no of digit is 6)

1.36+76=112

2.112*6=672

3.672/2=336

It is arithmatic progression.

S=(n/2)(a+l)

where S- Sum

n- number of values in series

a- first term

l- last term.

This is standard 7 formula, if you remember elementary mathematics.

This method is not working for series – 86+12+30+25+90+81 = 324

its not a common difference method series…. mam

This trick only works if there is a common difference in the series..

It is more easier if u can explain the logic too