Which of the following equations could be used to solve for the tenth term of the following sequence? 15, 13, 11, 9,
a) a(10) = 15 + 10(-2)
b) a(10) = 15 + 9(-2)
c) a(10) = 15 + 9(2)
d) a(10) = 15 + 10(2)

Answer

b) A(10) = 15 + 9(-2)

Explanation

15, 13, 11, 9, ...  This is an arithmetic sequence.

The common difference = 13 - 15 = -2

                                     or = 9 - 11 = -2

The first term of the sequence = 15.

The nth term of an arithmetic sequence is given by:

Tn = a + (n - 1)d

∴ T₁₀ = 15 + (10 - 1)(-2)

        = 15 + (9 × -2)  ⇒ This is the expression you need.

        = 15 + -18

       = -3

mxb67

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