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
Answer:
20th term should be 32.
Step-by-step 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
[tex]T_{n}[/tex] = a+ ( x - 1 ) d
Here a = first term
n = number of term
d = common difference
For the 20th term of the sequence.
[tex]T_{20}[/tex] = -6 + ( 20 - 1 ) 2
= -6 + 19 × 2
= 38 - 6
= 32
Therefore, 20th term should be 32.
