Which of the following represents the sum of 3+10+......+87+94 if the arithmetic series has 14 terms
2 answers:
Answer:
679
Step-by-step explanation:
The formula for calculating the sum of an arithmetic progression which contains the first and the last term is expressed as;
Sn = n/2(a+l) where:
n is the number of terms in the series
a is the first term of the series
l is the last term of the series.
Given the series 3+10+......+87+94 which has 14terms,
a = 3
n = 14
l = 94
S3 = 14/2(3+94)
S3 = 7(97)
S3 = 679
Here is a trick that not a lot of people know
(# of terms)*(first+last)/2
(in case you don't know, * means multiply and / means divide)
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