객관식
Write a recursive formula for the arithmetic sequence.
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20. Sequences, Series & Induction
Arithmetic Sequences
Multiple Choice
Find the general formula for the arithmetic sequence below. Without using a recursive formula, calculate the term.
A
46
B
136
C
146
D
150
검증된 단계별 안내1
Identify the first term of the sequence, which is \( a_1 = -9 \).
Determine the common difference \( d \) by subtracting the first term from the second term: \( d = -4 - (-9) = 5 \).
Use the formula for the nth term of an arithmetic sequence: \( a_n = a_1 + (n-1) imes d \).
Substitute the known values into the formula to find the 30th term: \( a_{30} = -9 + (30-1) imes 5 \).
Simplify the expression to find the value of the 30th term.
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