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.

repeat the question

step-by-step explanation:

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x