Find the 7th term of a geometric sequence with t1 = 6 and r = 4.
2 answers:
To solve for the 7th term of a geometric sequence with t1 = 6 and r = 4, we use the following equation:
<span>
a(n) = a(1) r^(n-1)
a7 = (6) 4^(7-1)
a7 = 24576</span>
Hope this answers the question. Have a nice day. Feel free to ask more questions.
Answer:
24,576.
Step-by-step explanation:
We have been given that first term of a geometric sequence is 6 and common ratio is 4. We are asked to find the 7th term of the sequence.
We know that a geometric sequence is in form
, where,
= nth term of sequence,
= 1st term of sequence,
= common ratio.
Upon substituting
and
and
in geometric sequence formula, we will get:




Therefore, the 7th term of the given geometric sequence would be 24,576.
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