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

## Answers ( )

Given :sum of first 5 terms of an arithmetic sequence is 60To find :SequenceSolution: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 12Sequence is

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

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Answer:10, 11 ,12, 13, 14…….

8, 10, 12, 14 ,16……..