Question

Explicit formula -6,-10,-14

Answer 1

Tn = -6 + (n - 1)(-4)

Explanation:

The explicit formula is this: Tn = a + (n - 1)*(d), where 'a' is the first term and 'd' is the common difference.

The first term is given to you and that is -6.

The common difference is -4 because:

d = -10 - (-6)

d = -10 + 6

d = -4

Hence: Tn = -6 + (n - 1)(-4)