Question

Find the eighth term of the sequence
3, 1, -3, -9, -17, ...

Answer 1

Answer:

-53.

Step-by-step explanation:

The terms decrease by  adding  the sequence  -2, -4 , -6, -8...... so the next 3  terms are -17 + -10 = -27 and -27 + -12 = -39  and -39 + -14 = -53 (the eight term).

Answer 2

The required eighth term is -53

Sequence 3, 1, -3, -9, -17, ...

What is arithmetic?

In mathematics it deals with numbers of operations according to the statements.

The given sequence = 3, 1, -3, -9, -17.....
Since,
Equation of the general term $a_{n}$ = $a_{n-1} -2(n-1)$

Now,
6th term = $a_{6-1} - 2(6-1)$
=$a_5-10$
=--17-10
= -27
similarly,
7th and 8th term is -39 and -53 respectively.

Thus, the required eighth term is -53.

Learn more about arithmetic here:

brainly.com/question/14753192

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