Mathematics
Hahahaanssers123
19

Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are 40 and 5000, respectively. OPTIONS --- an = 8 • 5n - 2 an = 8 • 5n + 3 an = 8 • 5n - 1 an = 8 • 5n + 1

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(1) Answers
dee11

Given: 2nd term : 40 5th term : 5,000 The correct format of the given choices are: an = 8 • 5^(n - 2) an = 8 • 5^(n + 3) an = 8 • 5^(n - 1) an = 8 • 5^(n + 1) They are the exponents. I individually substituted n by 2 and 5 to get the correct value of the corresponding term and the correct explicit rule is: a(n) = 8 * 5^(n-1) a(2) = 8 * 5^(2-1) = 8 * 5^1 = 8 * 5 = 40 a(5) = 8 * 5^(5-1) = 8 * 5^4 = 8 * 625 = 5,000

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