ecarter8967
25.06.2019 •
Mathematics
Find the sum of the first 90 terms of the sequence –4, –1, 2, 5, 8, a. 11654 b. 11657 c. 11656 d. 11655 select the best answer from the choices provided a) a b) b c) c d) d
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Ответ:
Sum of first 90 terms is Option d. 11655
Step-by-step explanation:
We have to find the sum of first 90 terms of the sequence -4,-1,2,5,8......
First we find the 90th term of the sequence
As we know the formula A(n)= A(1)+(n-1)d
Given from the sequence
A(1) = (-4)
n=90
d = 3
So A(n) = -4+(90-1)3
= (-4)+89×3
= 263
Now we know formula for the sum of any sequence is
Sum S(n) =
Now we know n= 90
A(1) = -4
A(n) =263
Now we put the value in the formula
S(n)=
= 45×259
= 11655
Ответ:
Step-by-step explanation:
James will reach the school first