Question

If nth term of an a.p is 3n+2 then find 15 term

Answer 1

15th term of AP is 47.

• The nth term of AP is given by $t_n = a+(n-1)d$.
• It is given that nth term is equal to 3n+2.

$t_n = a+(n-1)d$ = 3n+2

• Now equating both sides we get,

a-d = 2 ....(Equation 1)and

nd = 3n   ....(Equation 2)

Using the equation 2 , we get, d=3 and now substituting it in equation 1, we get

a = 5.

We have to find the 15th term,

we use the formula of nth term as,

$t_n = a+(n-1)d$

$t_{15} = 5+(15-1)3$

$t_{15} = 5+42$

$t_{15} = 47$