Question

The sum of the first 24 terms of the sequence whose nth term is given by an = 3 +2/
3n
than n is
​

Answer 1

Answer:

S(24) = 672

Step-by-step explanation:

I believe your Question was,

"Find the sum of first 24 terms of the sequence of numbers whose nth term is given by an=3+2n"

Now, let the first term be a1, so n = 1

a1 = 3 + 2(1) = 5

Now, 2nd term be a2, so n = 2

a2 = 3 + 2(2) = 7

Similarly,

a3 = 3 + 2(3) = 9

a4 = 3 + 2(4) = 11

and so on.....

also, a24 = 3 + 2(24) = 51

So, A.P = 5, 7, 9, 11,........,51,..........

Now, the Sum of n terms are given by the formula,

Sn = (n/2)[a + l]

where 'n' is the number of terms, 'a' is the first term and 'l' is the last term

Now,

S(24) = (24/2)[5 + 51]

S(24) = (12) × (56)

S(24) = 672

Hope it helped and you understood it........All the best