MyQuestionIcon

20

You visited us 20 times! Enjoying our articles? Unlock Full Access!

Common Difference

Find the comm...

Question

Find the common difference of an AP whose first term is 5 and the sum of first 4 terms is half of the sum of the next 4 terms.

Open in App

Solution

Let d is common difference of AP
now first 4term is 5,5+d,5+2d,5+3d
and next 4term 5+4d,5+5d,5+6d,5+7d
now according to question
20+6d=(20+22d)/2
20+6d=10+11d
d=2

Suggest Corrections

thumbs-up

0

Similar questions

Q. Find the common difference of an AP. whose first term is

100

and the sum of whose first six terms is five times the sum of the next six terms.

Find the common difference of an AP whose first term is 5 and the sum of its first four terms is half the sum of the next four terms. [CBSE 2012]

Q. Find the comman difference of an AP whose first term is 5 and the sum of first four term is half the sum of next four terms

Q. Find the common difference of an A.P. whose first term is

5

and the sum of first four terms is half the sum of the next four terms.

Q. Find the sum of the first

22

terms of an AP, whose first term is

4

and the common difference is

\frac{4}{3}

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Introduction to AP

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Common Difference

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon