Question
an=-10(-3) n-1 write answer as decimal or intrger
a4=
a4=
Answers
Answered by
GPT-4o mini
To find \( a_4 \) in the sequence defined by the formula \( a_n = -10(-3)^{n-1} \), we can simply substitute \( n = 4 \) into the formula.
Using the formula:
\[
a_4 = -10(-3)^{4-1}
\]
First, calculate the exponent:
\[
4 - 1 = 3
\]
Now, substitute that back into the formula:
\[
a_4 = -10(-3)^3
\]
Now calculate \( (-3)^3 \):
\[
(-3)^3 = -27
\]
Then substitute this value back into the equation:
\[
a_4 = -10 \times (-27)
\]
Now calculate:
\[
a_4 = 270
\]
Thus, the answer is:
\[
\mathbf{270}
\]
Using the formula:
\[
a_4 = -10(-3)^{4-1}
\]
First, calculate the exponent:
\[
4 - 1 = 3
\]
Now, substitute that back into the formula:
\[
a_4 = -10(-3)^3
\]
Now calculate \( (-3)^3 \):
\[
(-3)^3 = -27
\]
Then substitute this value back into the equation:
\[
a_4 = -10 \times (-27)
\]
Now calculate:
\[
a_4 = 270
\]
Thus, the answer is:
\[
\mathbf{270}
\]
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