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Write the following series in sigma notation: 4 + 9 + 14 + 19 + 24 + 29 + 34

a) ∑(5n - 1), n=1 to 7
b) ∑(5n + 1), n=1 to 7
c) ∑(5n), n=1 to 7
d) ∑(5n - 5), n=1 to 7

1 Answer

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Final answer:

The series 4 + 9 + 14 + 19 + 24 + 29 + 34 can be represented in sigma notation as ∑(5n - 1), n=1 to 7.

Step-by-step explanation:

In sigma notation, the sum of a series can be represented using the Greek letter sigma (∑). The expression ∑(5n - 1), n=1 to 7 represents the given series. To find the sum, substitute the values of n from 1 to 7 into the expression and add them up:

∑(5n - 1) = (5(1) - 1) + (5(2) - 1) + (5(3) - 1) + ... + (5(7) - 1)

= (5 - 1) + (10 - 1) + (15 - 1) + ... + (35 - 1)

= 4 + 9 + 14 + 19 + 24 + 29 + 34

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