Question

Select the correct answer. what is this series written in sigma notation? 2.5 2.5(1.2) 2.5(1.2)2 ⋯ 2.5(1.2)87 a. ∑ k = 1 87 2.5 ⁢ ( 1.2 ) k b. ∑ k = 1 87 2.5 ⁢ ( 1.2 ) k − 1 c. ∑ k = 1 88 2.5 ⁢ ( 1.2 ) k d.

Answer 1

∑ k = 1 88 2.5 ⁢ ( 1.2 ) k  is this series written in sigma notation.

What is the series written in sigma notation?

• A series can be represented in a compact form, called summation or sigma notation.
• The Greek capital letter, ∑ , is used to represent the sum. The series 4+8+12+16+20+24 can be expressed as 6∑n=14n .
• The expression is read as the sum of 4n as n goes from 1 to 6 .

Given:

2.5 + 2.5(1.2) + 2.5(1.2)2 + ⋯ + 2.5(1.2)87

If we look at the power it is always one less the term i.e., for first term the value of k=0.

So, the series in the form of summation can be written as

∑ k = 1 88 2.5 ⁢ ( 1.2 ) k

Learn more about sigma notation

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