Yuii
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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

What is the explicit rule for the sequence?



47, 42, 37, 32, …

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! What is the explicit rule for the sequence? 47, 42, 37, 32, … class=

Answer :

for the sequence you are subtracting 5 from it. Because 32 + 5 =37, 37+5 = 42,. 42+ 5 = 47. so you are subtracting 5 from it. so from the problem, it would be one of the last two.
tramserran

Answer:  [tex]\bold{(D)\ a_n=52-5n}[/tex]

Step-by-step explanation:

The explicit rule for an arithmetic sequence is: [tex]a_n=a_1+d(n-1)\quad \text{where}\ a_1\ \text{is the first term and d is the difference}[/tex]

In the given sequence {47, 42, 37, 32, ... }, the first term [tex](a_1)[/tex] is 47 and the difference (d) is 42 - 47 = -5

[tex]a_n=47-5(n-1)\\.\quad=47-5n+5\\.\quad=52-5n[/tex]

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