as well as tiat of 3o lerIs Is J00.ILLUSTRATION 4.12In an A.P. of 99 t

1.	as well as tiat of 3o lerIs Is J00.ILLUSTRATION 4.12In an A.P. of 99 terms, the sum of all theodd-numbered terms is 2550. Then find the sum of all the 99terms of the A.P
Answer» We know that: S(n) = (n/2){ T(1) + T(n) } Given that: (50/2){ T(1) + T(99) } = 2550 T(1) + T(99) = 102 Now sum of all the 99 terms: (99/2) {T(1) + T(99)} = (99/2)*102 = 5049

as well as tiat of 3o lerIs Is J00.ILLUSTRATION 4.12In an A.P. of 99 terms, the sum of all theodd-numbered terms is 2550. Then find the sum of all the 99terms of the A.P

Answer»

We know that: S(n) = (n/2){ T(1) + T(n) }

Given that:

(50/2){ T(1) + T(99) } = 2550 T(1) + T(99) = 102

Now sum of all the 99 terms:

(99/2) {T(1) + T(99)} = (99/2)*102 = 5049