Question

Find the middle term of the AP
2; 8; 14;..., 158.​

Answer 1

Answer:

middle term = 80

Step-by-step explanation:

Given from the AP a=2; d= 8-2=6 ; last term(l)=158

Firstly, we should find value of n.

Using,

l= a+(n-1)d.

158=2+(n-1)6

158=-4+6n

6n=158+4

n=162/6

n= 27th term.

Here, the n =27th term is odd so we should use, ( n+1/2)th term

= 27 + 1/2

=28/2

=14 th term is the middle term of the given AP

The 14th term of the AP can be calculated from:

t14= a + (n-1)d

t14 = 2 +(13)6

t14= 2+78

t14= 80

Answer 2

ur answer is attached above

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Answer is 80