Question

In ap 10,5,0,-5 then find the 15th term

Answer 1

a=10

d=-5

t15=a+(n-1)d

=10+14×-5

=10-70

=-60

Answer 2

Answer:

The 15th term is $-60$.

Step-by-step explanation:

Given: 10,5,0,-5,.... are in A.P.

To find: 15th term.

We know that nth term in an A.P is given by:

$a_{n} =a+(n-1)d$, where $a_{n}$ is the nth term, $a,n,d$ are first term, number of term & common difference respectively.

Here, $a=10,d=5-10=-5$ and $n=15$.

$a_{15}=10+(15-1)*(-5)$

     $=10+14(-5)\\=10-70\\=-60$

Hence the 15th term is $-60$.

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