WRITE A RULE FOR THE nth TERM OF THE ARITHMETIC SEQUENCE THEN FIND a_25: {1.6,4,6.4,8.8,11.2,…} *

Falak Kinney 2020-11-26 Answered

WRITE A RULE FOR THE nth TERM OF THE ARITHMETIC SEQUENCE THEN FIND a25: {1.6,4,6.4,8.8,11.2,…} *

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tabuordg
Answered 2020-11-27 Author has 99 answers

Answer: an=2.4n0.8,a25=59.2
We know an arithmetic sequence has the same difference for every two consecutive terms. So, the difference is 41.6=2.4.
Then, note that the nth term of an arithmetic sequence is the first term plus (n1)× the difference. Thus, an=1.6+2.4×(n1)=2.4n0.8.

Then, a25=2.4×250.8=600.8=59.2.

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