Answer :
For a series to be in AP, the common difference (d) should be
Equal.
D1 = second term – first term = -6 – (-10) = 4
D2 = Third term - Second term = -2 – (6) = 4
Since common difference is equal the above series is in AP
The next three terms will be the 5th, 6th, 7th.
5th term will be given by
= a + (5-1)d = a + 4d = -10 + 4(4) = 6
6th term is a + (6-1)d = a + 5d = -10 + 5(4) = 10
7th term is a + (7-1)d = a + 6d = -10 + 6(4) = 14
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