What will be the number of a member of the arithmetic progression equal to 53, if a1 = -4; d = 3?
May 19, 2021 | education
| Let’s write down the formula for finding the nth term of the arithmetic progression.
an = a1 + (n – 1) d. With a1 = – 4 and d = 3, the expression will take the form:
– 4 + (n – 1) * 3 = 53.
– 4 + 3n – 3 = 53.
– 7 + 3n = 53.
n = (53 + 7): 3 = 60: 3 = 20.
Answer: the twentieth term of this progression is 53.
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