Question

in an ap if sum of 5th and 25th term is 106 then the 15tg term is ​

Answer 1

Let a be the first term of AP and aₙ be the nth term of AP

a₅=a+4d

a₂₅=a+24d

a₅+a₂₅=106

2a+28d=106

a+14d=53

And a₁₅=a+14d

So

the 15th term of AP is 53

Answer 2

Answer:

53

Step-by-step explanation:

nth term=An=a+(n-1)d

5th term = A5=a+(5-1)d=a+4d

25th term=A25=a+(25-1)d=a+24d

5th term+25th term=106

a+4d+a+24d=106

2a+28d=106

2(a+14d)=106

a+14d=53

15th term=A15=a+(15-1)d=a+14d=53