Question

Find the 20th term of the following sequence. -6, -4, -2, 0, ... 32 44 46

Answer 1

20th term should be 32.

Explanation:

The given sequence is -6, -4, -2, 0,.......32, 44, 46

In this sequence we can say that there is a common difference = -4 + 6 = 2 = (T₂ - T₁)

Therefore, the sequence is an arithmetic sequence.

Now explicit formula of an arithmetic sequence is given by

`T_(n)` = a+ ( x - 1 ) d

Here a = first term

n = number of term

d = common difference

For the 20th term of the sequence.

`T_(20)` = -6 + ( 20 - 1 ) 2

= -6 + 19 × 2

= 38 - 6

= 32

Therefore, 20th term should be 32.

Answer 2

You are adding 2 each time.

4 terms are given to you, with 5th term being 2

20 - 5 = 15

Multiply 15 with 2

15 x 2 = 30

Add the number gotten with the last number given

30 + 2 = 32

32, or (A) is your answer

hope this helps