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
= a+ ( x - 1 ) d
Here a = first term
n = number of term
d = common difference
For the 20th term of the sequence.
= -6 + ( 20 - 1 ) 2
= -6 + 19 × 2
= 38 - 6
= 32
Therefore, 20th term should be 32.