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Question

The 5th term of an arithmetic sequence is 9 and its 9th term is 5. What is its common difference? What is the 14th term?


Solution

5th term of the arithmetic sequence = 9

9th term of the arithmetic sequence = 5

To get the 9th term from the 5th term, we must add the common difference four times to the 5th term.

The number to be added is 5 − 9 = 4

Common difference = = 1

To get the 14th term from the 5th term, we must add the common difference nine times to the 5th term.

14th term = 9 + 9(1) = 9 − 9 = 0


Mathematics
Mathematics Part I
Standard X

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