Find the middle term of the AP
2; 8; 14;..., 158.
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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
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Answer is 80
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