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Vikki [24]
3 years ago
10

Which of the following represents the sum of 3+10+......+87+94 if the arithmetic series has 14 terms

Mathematics
2 answers:
AleksandrR [38]3 years ago
7 0

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

nirvana33 [79]3 years ago
5 0
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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Using appropriate properties find: 2/3 × 3/4 + 3/7 × 3/4​
Viktor [21]

Answer:

\frac{23}{28}

Step-by-step explanation:

\frac{2}{3}  \times  \frac{3}{4}  +  \frac{3}{7}  \times  \frac{3}{4}

=  >  \frac{3}{4} ( \frac{2}{3}  +  \frac{3}{7} )

=  >  \frac{3}{4}  \times  \frac{23}{21}

Reducing 3 from numerator and denominator,

=  >  \frac{23}{4 \times 7}  =  \frac{23}{28}

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Find the average of: 15, 8, -22, 24, -9, -18, 16
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4 years ago
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AlladinOne [14]

Answer:

see below

Step-by-step explanation:

 dx        2+2xy         1                1                  2               2

____ =   ______ – ___x^2 – ____y^2 – _____x + ______y

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Answer:

y=x-1

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