Question

1. The nth term of a sequence -5,-10,-15,-20,... is
​

Answer 1

Answer:

-45 is the answer to this question

Answer 2

Step-by-step explanation:

Explanation:

Let the term count be i Let the i'th term be a

Let the term the question askes for be an

Tip: Alternating positive an negative is achieved using something like: (-1)". So some variant on this will be

included.

Just considering the numbers. Will deal with the signs afterwards.

a1 → 5

a21010-55 a3 15 15 10 5

a4 20 20 15 = 5

So this is an arithmetic sequence of type a; = 5i

Now we deal with the sign

a> 0 (-1)²

a2 <0+

az > 0

(- - 1)³

So for any i; a includes +1 − 1)²+

Putting it all together

For any i; a₁ =

:5i(-1)+1

Putting it into the same format the question requires

nth term

→an= 5n(-1)"+1

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