Question

what is the sum of first hundred multiples of 9 ​

Answer 1

Answer:

sn = 45450

Step-by-step explanation:

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Answer 2

The sum of first hundred multiples of 9 ​is 45450.

Step-by-step explanation:

To find : What is the sum of first hundred multiples of 9 ​?

Solution :

The first hundred multiples of 9 are 9,18,27,... are in Arithmetic progression.

Where, the first term is a=9

The common difference is d=9

The number of terms n=100

The sum formula of an A.P is given by,

$S_n=\frac{n}{2}[2a+(n-1)d]$

$S_{100}=\frac{100}{2}[2(9)+(100-1)9]$

$S_{100}=50[18+(99)9]$

$S_{100}=50[18+891]$

$S_{100}=50[909]$

$S_{100}=45450$

Therefore, the sum of first hundred multiples of 9 ​is 45450.

#Learn more

In an ap the first term is -5 and last term is 45.if the sum of all numbers in the ap is 120 then how many terms are there and what is the commom differnce

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