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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