## The sum of first 5 terms of an arithmetic sequence is 60 write the sequence

Question

The sum of first 5 terms of an arithmetic sequence is 60 write the sequence

in progress 0
4 days 2021-10-12T06:59:42+00:00 2 Answers 0 views 0

1. Given : sum of first 5 terms of an arithmetic sequence is 60

To find :  Sequence

Solution:

Let say first 5 term of an arithmetic sequence  are

a – 2d , a – d , a  , a + d , a +  2d

Sum of 5 terms  = 60

=> a -2d + a – d + a + a + d + a + 2d = 60

=> 5a = 60

=> a  = 12

As no information is available to find d

Hence  many possible sequence possible depending upon value of

d

Few examples :

d =  1  , sequence is

=> 10 ,  11 , 12 , 13 , 14…………………

d = 2 ,   sequence is

=> 8 , 10 , 12 , 14 , 16 ………………

d = 3 , sequence is

6 , 9 , 12 , 15 , 18 ………..

and so on

if d = – 1

then sequence is

14 , 13 , 12 , 11 , 10 …………

Only common thing in all sequence will be that middle term is 12

Sequence is

12-2d , 12 – d , 12 , 12 + d , 12 + 2d……………………