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seropon [69]
2 years ago
13

What is the sum of the arithmetic sequence 18 E t=1 (5t-4)

Mathematics
2 answers:
qaws [65]2 years ago
8 0

Question:

What is the sum of the arithmetic sequence 18 E t=1 (5t-4)

Answer & Step-by-step explanation:

We have to find the sum of Arithmetic series from t = 1 to t = 18 represented by (5t - 4)

The formula to find the sum of an Arithmetic series when first and the last term is known is:

S_{n}=\frac{n}{2}(a_{1}+a_{n})

n = Total number of terms = 18

a_{1} = First Term = 5(1) - 4 = 1

a_{18} = 18th Term = 5(18) - 4 = 86

Using the values in the above formula, we get:

S_{18}=\frac{18}{2}(1+86)\\S_{18}=9(87)\\ S_{18}=783

Thus, the sum of 18 terms of the given Arithmetic Series is 783.

dezoksy [38]2 years ago
7 0

The arithmetic sequence is:

\displaystyle\sum_{t = 1}^{18} (5t - 4)

The answer is:

783

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