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Chapter 12: Q. 12.7 (page 1166)

Find a general term for the sequence whose first five terms are shown. 4, 8, 12, 16, 20, …

Short Answer

Expert verified

The general term for the given sequence isan=3n.

Step by step solution

01

Step 1. Given information

The first five terms are 4, 8, 12, 16, 20, …

We have to find the general term for the given sequence.

02

Step 2. Calculating the pattern

n12345...nTerms3691215...Pattern3132333435...3n

03

Step 3. Conclusion

From the above table, we can observe that all the numbers are multiple of 3.

Therefore, the general term for the given sequence isan=3n.

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Find the ninth term of the sequence 6,18,54,162,486,1,458,….Then find the general term for the sequence.

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