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Kryger [21]
4 years ago
13

Calculate S5 for the sequence defined by {an}={1+5/2n} 13.5 23 40 42.5

Mathematics
1 answer:
goldfiish [28.3K]4 years ago
5 0
This is an arithmetic series, where S5 means the sum of the first 5 numbers in the series. The general formula is:

Sn = (n/2)(a1 + an)

So,
a1 = 1 + 5/2(1) = 3.5
a5 = 1 + 5/2(5) = 1.5

S5 = (5/2)(3.5+1.5)
S5 = 12.5

<em>The answer should be 12.5</em>
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Find the seventh term of the sequence which has a first term of 1/2 and has a common ratio of three
prohojiy [21]

The seventh term of the sequence is 364.5

<h3>Geometric progression </h3>

From the question, we are to determine the seventh term of the sequence

Using the formula,

a_{n}  = ar^{n-1}

Where a_{n} is the nth term

a is the first term

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From the given information,

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Thus,

a_{7}  = (\frac{1}{2}) 3^{7-1}

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Learn more on Geometric progression here: brainly.com/question/24643676

#SPJ1

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