The sum of first 5 terms of an arithmetic sequence is 60 write the sequence
Answers
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........................
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Answer:
10, 11 ,12, 13, 14.......
8, 10, 12, 14 ,16........