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Chapter 7: Q. 26 (page 592)

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

1,7,13,19,25,鈥�

Short Answer

Expert verified

The plausible formula for the general term of the sequence isak+1=ak+6,wherea1=1.

Step by step solution

01

Step 1. Given information.

The given sequence is1,7,13,19,25,鈥�.

02

Step 2. plausible formula for the general term. 

the first term of the sequence is a1=1.

The second term of the sequence is a2=7=a1+6.

similarly, the third term of the sequence is a3=13=a2+6.

In sequence 1,7,13,19,25,鈥�,difference between consecutive terms is 6.

So plausible formula for the general term of the sequence isak+1=ak+6,wherea1=1.

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Most popular questions from this chapter

Use any convergence test from this section or the previous section to determine whether the series in Exercises 31鈥�48 converge or diverge. Explain how the series meets the hypotheses of the test you select.

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