Question

Fill in the next two terms of the arithmetic sequence: –18, –7, 4, 15, ______, ______

Answer 1

-18 + 11 = -7 + 11 = 4 + 11 = 15 + 11 = 26 + 11 = 37

The next two terms in the sequence are 26 and 37.

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Answer 2

Answer:

Step-by-step explanation:number of terms of AP = Tn = a + (n-1)d where n is 6th term and a is the first term of the progression and d is the common difference.

Therefore, T6 = a + (6-1)d._____(1)

To calculate d, the second term is deducted from the first term;

d = -7 - (-18); -7 + 18 = 11.

T6 = -18 + 5 x 11

= -18 + 55

= 37.

The fifth term is 37- 11, = 26.

The next two terms will be, 26, 37.

Alternative method, add 11, the common difference to 15, which is 26, and add 11 to 26 which gives 37