If the first term of a geometric series is 4 and the common ratio is 2, what is

If the first term of a geometric series is 4 and the common ratio is 2, what is the 7th term?

If the first term of a geometric series is 4 and the common ratio is 2, what is the 7th term?

Step 1: Identify the first term of the geometric series, which is given as 4. This is 'a'.
Step 2: Identify the common ratio of the geometric series, which is given as 2. This is 'r'.
Step 3: Identify the term number we want to find, which is the 7th term. This is 'n'.
Step 4: Use the formula for the nth term of a geometric series, which is a_n = ar^(n-1).
Step 5: Substitute the values into the formula: a_7 = 4 * 2^(7-1).
Step 6: Calculate the exponent: 7 - 1 = 6, so we have a_7 = 4 * 2^6.
Step 7: Calculate 2^6, which is 64.
Step 8: Multiply 4 by 64 to find the 7th term: 4 * 64 = 256.

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