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Chapter 7: Q. 30 (page 592)

In Exercises, find a plausible formula for the general term of the given sequence.

1,12,16,124,1120,鈥�

Short Answer

Expert verified

The plausible formula for the general term of the sequence isak=1k!wherek鈮�1.

Step by step solution

01

Step 1. Given information.

The given sequence is1,12,16,124,1120,鈥�.

02

Step 2. plausible formula for the general term. 

write the sequence in a pattern.

1,12,16,124,1120,鈥�=11!,12!,13!,14!,15!,鈥�1,12,16,124,1120,鈥�=1k!k=1鈭�

for every term, the numerator is 1and the denominator is k!andk鈮�1.

So plausible formula for the general term of the sequence isrole="math" localid="1649189469781" ak=1k!.

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