Question

Find middle term of AP 8,15,22,29......771

Answer 1

a.n=a1+(n-1)d
just follow the pattern
total terms=110
so half terms 55
and just put the value

Answer 2

Hey friend..!! here's your answer
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a = 8

d = 15 - 8 = 7

an. = 771

Firstly we the total no. of terms.


an = a + ( n - 1 ) d

771 = 8 + ( n - 1) 7

771 = 8 + 7n - 7
771 - 1 = 7n

n = 110

So the middle of 110 is 110 / 2 = 55

Middle term is 55th of an AP

now we find middle term


a55 = a + (n- 1)d

an55= 5 + ( 55 - 1)7

a55 = 5 + 54 (7)

a55 = 5 +378

a55 = 383


So that middle term of AP is 383

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#Hope its help