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egoroff_w [7]
3 years ago
7

Find the sum of the even integers between 21 and 45

Mathematics
2 answers:
Vika [28.1K]3 years ago
6 0
22+24+26+28+30+32+34+36+38+40+42+44= 396
mario62 [17]3 years ago
4 0

Solution:

we have been asked to find the sum of the even integers between 21 and 45.

The even integers between 21 and 45 is

22, 24, 26,28, 30, 32, 34, 36,38, 40, 42,44.

its forming an arithmetic progression with

first term=22=a

number of term=12=n

common difference=24-22=2=d

The sum can be found using the formula

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

Substitute the values in the above formula we get

S_{12}=\frac{12}{2}[2*22+(12-1)2]\\ \\ S_{12}=6[44+22]\\ \\ S_{12}=6*66\\ \\S_{12}=396\\


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