The sum of the first n terms in a geometric sequence given the first term (a1) and the common ratio (r) is calculated through the equation,
<span>Sn </span>= (<span><span><span>a1</span>(1−<span>r^n</span>) / (</span><span>1−r)
Substituting the known terms,
Sn = (20)(1 - (1/4)^4)) / (1 - 1/4)
Sn = 26.5625
Thus, the sum of the first four terms is 26.5625. </span></span>
Answer:
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Answer:
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Answer:
Exponential form: y = x^½
Step-by-step explanation:
Given
Required:
The exponential form
To convert to an exponential function, we have to take exponents of both sides using the base of the logarithm function.
This gives us
Since the base of the exponential function and the logarithm is the same (x), they'll cancel out one another
This leaves us with
Hence, the exponential form of the expression
is