Is the sum the sum of the arithmetic 1635?
2 answers:
Answer:
1199
Step-by-step explanation:
There are 22 terms in the sum:
23 + 26 + 29 + ... + 80 + 83 + 86 =
= (23 + 86) + (26 + 83) + ... + (53 + 56)
= 109 + 109 + ... + 109
= 11(109)
= 1199
ANSWER
1199
EXPLANATION
The given series is
To find the first term of this series, we put n=9 into the formula.
To find the last term, we put n=30
There are 22 terms from the 9th term to the 30th term
The sum of the consecutive n-terms of an arithmetic series is given by;
We substitute n=22, a=23, and l=86 to get;
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