Question

Find the sum of first 24 terms of an A whose nth term is given by a, = 3+2n

Answer 1

Step-by-step explanation:

$\huge\underline{\underline{\ Question}}$

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Find the sum of first 24 terms of an A whose nth term is given by a, = 3+2n

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$\huge\underline{\underline{\ Answer}}$

a = 3 + 2n

so first term will be=>

t1=(first term)

= 3 + 2(1)

= 5

t2 = (second term)

= 3 + 2(2)

= 7

d = t2 - t1

= 7 - 5

= 2

Sum of 24 terms will be=>

$sn = \frac{n}{2} (2a + (n - 1)d) \\ \: \implies \frac{24}{2} (10 + 23 \times 2) \\ \: \implies 24(28) \\ \: \implies \huge \boxed{ 672}$

So, Sum of first 24 terms will be=> 672