Question

IF the first term of an AP is 3 the sum of first 5 terms is 1/11th of the sum of next 5 terms find the 20th term ​

Answer 1

Step-by-step explanation:

Let the first term be a

a=3

a+a+d+a+2d+a+3d+a+4d=1/11(a+5d+a+6d+a+7d+a+8d+a+9d)

=5a+10d=1/11(5a+35d)

11(5a+10d)=5a+35d

55a+110d=5a+35d

55a-5a+110d-35d=0

50a+75d=0

25(2a+3d)=0

2a+3d=0

As a=3

2(3)+3d=0

6+3d=0

3d=-6

d=-2

20th term

=a+(n-1)d

=3+(20-1)-2

=3+(19)-2

=-32

Answer 2

Step-by-step explanation:

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