Answer:
a[n] = a[n-1]×(4/3)
a[1] = 1/2
Step-by-step explanation:
The terms of a geometric sequence have an initial term and a common ratio. The common ratio multiplies the previous term to get the next one. That sentence describes the recursive relation.
The general explicit term of a geometric sequence is ...
a[n] = a[1]×r^(n-1) . . . . . where a[1] is the first term and r is the common ratio
Comparing this to the expression you are given, you see that ...
a[1] = 1/2
r = 4/3
(You also see that parenthses are missing around the exponent expression, n-1.)
A recursive rule is defined by two things:
- the starting value(s) for the recursive relation
- the recursive relation relating the next term to previous terms
The definition of a geometric sequence tells you the recursive relation is:
<em>the next term is the previous one multiplied by the common ratio</em>.
In math terms, this looks like
a[n] = a[n-1]×r
Using the value of r from above, this becomes ...
a[n] = a[n-1]×(4/3)
Of course, the starting values are the same for the explicit rule and the recursive rule:
a[1] = 1/2
Answer:
Step-by-step explanation:
why
Answer:
4 inches deep, 5 inches high and 15 inches across
The credit card industry and cigarette industry are very similar in terms of negative influence on personal finances.
<h3>What is credit card?</h3>
A credit card is a sort of payment card that uses a line of credit rather than the account holder's cash deposits to make purchases.
Tobacco use can have a negative impact on personal finances due to the sheer high price of tobacco products, wasted pay owing to sickness absence, plus hospitalization rates due to the higher risk of illness associated with smoking use.
If you let that debt grow, you may find that the amount of interest you owe equals or even exceeds your original principal, forcing you to spend a lot just to pay it off.
Thus, the credit card industry and cigarette industry are very similar in terms of negative influence on personal finances.
Learn more about the credit card here:
brainly.com/question/27350251
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