IDNLearn.com connects you with experts who provide accurate and reliable answers. Ask your questions and receive prompt, detailed answers from our experienced and knowledgeable community members.

Which of the following is the explicit rule for a geometric sequence defined by a recursive formula of for which the first term is 7?

Which Of The Following Is The Explicit Rule For A Geometric Sequence Defined By A Recursive Formula Of For Which The First Term Is 7 class=

Sagot :

.it should be C for the question

Answer:

  B.  an = 7·13^(n-1)

Step-by-step explanation:

The general form of the explicit rule for a geometric sequence is ...

  an = a1·r^(n-1)

The common ratio (r) is the multiplier in the recursive rule: 13. The first term (a1) is given as 7. Filling in these values, you have ...

  an = 7·13^(n-1)

__

As always, you can check the answer choices to see which one satisfies the requirements. Here, you need go no further than evaluating each of the expressions for n=1.

  A. a1 = 13·7² ≠ 7

  B. a1 = 7·1  = 7 . . . . as required

  C. a1 = 7·13² ≠ 7

  D. a1 = 13·1 ≠ 7