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Chapter 11: Q59. (page 582)

Find the first term in the arithmetic sequence?

_,813,7,523,413,...

  1. 3
  2. 923
  3. 1013
  4. 11

Short Answer

Expert verified

B) The first term in the arithmetic sequence is923.

Step by step solution

01

Step 1. Given Information.

The given arithmetic sequence is __,813,7,523,413,...

02

Step 2. Calculation.

A sequence is said to be arithmetic when the difference between the consecutive terms is always the same.

Here the difference between the first two terms is 7鈭�813=鈭�113

The difference between the next two terms is 523鈭�7=鈭�113

So, the common difference is 鈭�113.

The first term is given by:

a1鈭�113=813a1=813+113a1=923

03

Step 3. Conclusion.

Hence, the first term in the arithmetic sequence is923 .

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