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Chapter 11: Q3. (page 586)

Write the series 7 + 10 + 13 + 16 using sigma notation.

Short Answer

Expert verified

The sigma notation for the series is鈭�n=14(3n+4) .

Step by step solution

01

Step 1. Given Information.

Given series is 7 + 10 + 13 + 16.

02

Step 2. Calculation.

Here, the common difference is 10鈭�7=3

The nth term of the sequence is given by

an=a1+(n鈭�1)dan=7+(n鈭�1)(3)an=7+3n鈭�3an=3n+4

Since there are four terms i.e. n goes from 1 to 4, the summation is given by:鈭�n=14(3n+4)

03

Step 3. Conclusion.

Hence, the sigma notation is 鈭�n=14(3n+4).

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