Question

In the arithmetic sequence −117, −114, −111 · · ·

a) Write the algebraic form of this sequence

b) How many negative terms are there in this sequence?

c) How many terms from the first term in the order make the sum 0?​

Answer 1

Answer:

c): Let n be the number of terms to make the sum = 0

0 = (n/2){2×(-117)+(n-1)}

d = -114- (-117) = -114 + 117 = +3

0 = (n/2){2×(-117) + (n-1)3}

-2×117 + (n-1)3 = 0

-2×39 + n -1 =0

n = 2×39 +1 = 79Ans

Answer 2

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