Question

In a given sequnce 1/15, 1/2, 1/10, ...find 11th term of an AP​

Answer 1

Step-by-step explanation:

AP series: a,a+d,a+2d,....

Given,

AP series: 1/15,1/2 1/10,.....

=>> a = 1/15 (1st term)

=>> a+d = 1/2 (2nd term)

=>> 1/15 + d = 1/2

=>> d = 1/2 - 1/15

=>> d = (15-2)/30

=>> d = 13/30

nth term = a+(n-1)d

=>> 11th term = a+(11-1)d = a+(12)d

=>> 1/15 + (12 × 13/30)

=>> 1/15 + (2×13/5)

=>> 1/15 + 26/5

=>> 1/15 + 78/15

=>> 79/15