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1. what is th sum of multiples of 4 between 15 and 49?​

Sagot :

SUMOF MULTIPLES OF 4 BETWEEN 15 AND 49

Answer:

288  

Solutions:

List the multiples of 4 between 15 and 49.

4 - 16, 20, 24, 28, 32, 36, 40, 44, 48

then,

a₁ = 16

d = 4

n = 9

Find the sum.

S_n =[tex]\frac{n}{2}[/tex] [2a₁ + d(n - 1)]

S₉ = [tex]\frac{9}{2}[/tex][2(16) + (4)(9 - 1)]

S₉ = [tex]\frac{9}{2}[/tex][32 + (4)(8)]

S₉ = [tex]\frac{9}{2}[/tex](32 + 32)

S₉ = [tex]\frac{9}{2}[/tex] (64)

S₉ = [tex]\frac{576}{2}[/tex]

S₉ = 288

Series of Arithmetic

A series with an arithmetic related sequence. It is obtained by multiplying the terms of an arithmetic sequence. The sum of the terms in a definite-number-of-terms arithmetic sequence. It is obtained by multiplying the terms of an arithmetic sequence. An arithmetic progression, also known as an arithmetic sequence, is a set of numbers in which the difference between successive terms remains constant.

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