Answer :
The next three terms of the AP are 10, 16, 22
We have a Arithmetic Sequence.
We have to determine the next three terms of this sequence.
What is the formula to calculate the nth term of an Arithmetic Sequence ?
The formula to calculate the nth term of an Arithmetic Sequence is -
a(n) = a + (n - 1)d
a - first term of A.P.
d - Common difference of A.P.
n - position of term
According to the question -
Sequence = -2, 4, ..... so on
a= a(1) = -2
d = a(2) - a(1) = 4 - (-2) = 6
Then, using the formula to calculate the nth term, we get -
a(n) = a + (n - 1)d
a(3) = -2 + (3 - 1)6
a(3) = -2 + 12 = 10
a(4) = -2 + (4 - 1)6
a(4) = -2 + 3 x 6
a(4) = -2 + 18 = 16
a(5) = -2 + (5 - 1)6
a(5) = -2 + 4 x 6
a(5) = -2 + 24
a(5) = 22
Hence, the next three terms of the AP are 10, 16, 22.
To solve more questions on Arithmetic Sequences, visit the link below-
brainly.com/question/19828148
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