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Dima020 [189]
2 years ago
14

Please help meeeee!!!!!

Mathematics
1 answer:
valkas [14]2 years ago
6 0

Answer:

-41

Step-by-step explanation:

arithmetic sequence formula:

an = a1 + (n - 1)d

where an = nth term , a1 = first term, n = # of terms and d = common difference

we want to find the 21st terms

The first term is -1 so a1 = -1

The number of terms is 21 so n = 21

and the common difference appears to be -2 because as the sequence goes on the number previous to it is subtracted by 2. eg. to get to -3 from -1 we subtract 2 ( -1 - 2 = -3) so d = -2

to find the 21st term we plug in the values of the variables

an = a1 + (n-1)d

a1 = -1 , n = 21 and d = -2

an = -1 + (21-1)(-2)

subtract 1 from 21

an = -1 + (20)(-2)

multiply -2 and 20

an = -1 + -40

add -1 and -40

an = -41

the 21st term would be -41

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