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2 years ago

Which is an equation for the nth term of the sequence?

Mathematics

2 answers:

Crank2 years ago

6 0

Answer: The correct option is (B) $a_n=3n+9.$

Step-by-step explanation: We are given to select the equation that represents the nth term of the following sequence :

12, 15, 18, 21, . . .

We see that

the given sequence is an arithmetic one with first term a = 12 and common difference d given by

d = 15 - 12 = 18 - 15 = 21 - 18 = . . . =3.

We know that

the nth term of an arithmetic sequence with first term a and common difference d is given by

$a_n=a+(n-1)d.$

Therefore, the nth term of the given sequence is

$a_n=a+(n-1)d=12+(n-1)\times3=12+3n-3=3n+9.$

Thus, the required nth term of the given sequence is $a_n=3n+9.$

Option (B) is CORRECT.

bulgar [2K]2 years ago

5 0

The answer is a I think

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