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Use the explicit formula an = a1 + (n - 1). d to find the 300th term of the

sequence below.
57, 66, 75, 84, 93, ..
O A. 2748
O B. 2757
O c. 260,1
O D. 2784
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User GRY
by
4.1k points

2 Answers

5 votes

Answer:

2748

Explanation:

i just finished it

User Souvikc
by
5.6k points
4 votes

Answer: A. 2748

Step-by-step explanation: From the explicit formula: an= a1 + (n -1).d

an means number of terms we are looking for.

a1 means the first term of the arithmetic progression which is 57

d means common differences between the terms. I.e second term (a2)- first term(a1). 66-57=9

Substituting the values into the formulae.

a300= 57 +(300-1)9

a300= 57 +(299×9)

= 57 + 2691

a300 = 2748

User Robert Lachner
by
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