Find the 17th term in the sequence for which a1 = 10 and d = -3.
a. -42
c. 24
b. 34
d. -38

  (d) -38  is the correct option.

Step-by-step explanation:   We are given to find the 17th term of a sequence with first term a(1) = 10  and  common difference, d = -3.

Since common difference exists between any two consecutive terms of the sequence, so the given sequence is ARITHMETIC.

We know that

the n-th term of an arithmetic sequence with first term a(1) and common difference d is given by

Therefore, the 17-th term of the given arithmetic sequence will be

Thus, the 17-th term of the given sequence is -38.

Option (d) is CORRECT.

here is the

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