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3 years ago

Find the general term for the sequence -3, 1, 5, 9, ....

Mathematics

2 answers:

UkoKoshka [18]3 years ago

8 0

Answer: The correct option is (c) 4n - 7.

Step-by-step explanation: We are given to find the general term for the following sequence :

-3, 1, 5, 9, . . . .

In the sequence, we notice the following patter :

1 - (-3) = 5 - 1 = 9 - 5 = . . . =4.

So, there is a common difference of 4 between the consecutive terms and so the given sequence is an arithmetic one.

We know that

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

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

In the given sequence,

a = -3 and d = 4.

Therefore, the n-th term of the sequence will be

$a_n=-3+(n-1)\times4=-3+4n-4=4n-7.$

Thus, the required general term of the sequence is (4n - 7).

Option (c) is CORRECT.

babymother [125]3 years ago

5 0

Answer:

Step-by-step explanation:

The difference between that numbers is 4 so it's going to be in the 4 nth term

now 4x1 = 4

to get from 4 to -3 you need to - 7 and hence you get the nth term 4n-7

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** Math--> English translation:

Look at the f(x) equation. Wherever you see an x in the f(x), replace the x with 4x [because 4x is the g(x)]. Basically, plug the g(x) into f(x).

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** Disclaimer: Notation may be inaccurate.

That's your answer. (Usually you leave it as so, but if your instructor wants it factored, then proceed).

As for the third part, I am unsure of a clear answer, so I am unable to provide an answer at the time.

**********************

Hope that helped.

DISCLAIMER:

Always double check with a reliable source, as mistakes are a possibility. Never use this, or any, platform to cheat.

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