Question

in an AP the fifth term is 6 the common difference is 4 then the eight term is​

Answer 1

Step-by-step explanation:

$5th \: term = 6 \\ a + 4d = 6 \\ d = 4 \\ a + 16 = 6 \\ a = 6 - 16 \\ a = - 10 \\ 8th \: term = a + 7d \\ - 10 + 28 \\ = 18$

Answer 2

Answer:

18

Step-by-step explanation:

Given,

5th term in an A.P(a_5) = 6

Common difference(d) = 4

To Find :-

8th term of an A.P.

How To Do :-

As they given the value of 5th term of an A.P we need to find the value of first term(a) by applying the formula of nth term of an A.P from it. Then we need to substitute in the formula of the eight term of an A.P

Formula Required :-

nth term of an A.P :-

aₙ = a + (n - 1)d

Solution :-

a₅ = 6

6 = a + (5 - 1)(4)

6 = a + 4(4)

6 = a + 16

a = 6 - 16

a = - 10

∴ First term of A.P(a) = - 10

a₈ = a + (8 - 1)d

= - 10 + 7(4)

= - 10 + 28

= 18

∴ 8th term of an A.P = a₈ = 18.