Question

Find the sum of the AP 6+12+18+24+30+ +96

Answer 1

Step-by-step explanation:

x answer is 96+96 =192................

Answer 2

The sum of the AP=816

Step-by-step explanation:

$a_1=a=6,a_2=12$

$a_n=96$

$d=a_2-a_1=12-6=6$

nth term of A.P is given by

$a_n=a+(n-1)d$

Where $a_n=$Last term

$a=$First term

d=Common difference

n=Total number of terms of AP

Using the formula

$96=6+(n-1)(6)$

$96-6=6(n-1)$

$90=6(n-1)$

$n-1=\frac{90}{6}=15$

$n=15+1=16$

Sum of nth terms of A.P is given by

$S_n=\frac{n}{2}(a+a_n)$

Substitute the values then we get

$S_n=\frac{16}{2}(6+96)$

$S_n=8\times 102=816$

Hence, the sum of the AP=816

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