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juin [17]
2 years ago
10

The first term of a geometric sequence is 300 and the common ratio is 2 What is the 7th term of the sequence

Mathematics
1 answer:
xxMikexx [17]2 years ago
3 0

Step-by-step explanation:

s1 = 300

s2 = s1 × 2 = 300 × 2 = 600

s3 = s2 × 2 = s1 × 2² = 1200

sn = sn-1 × 2 = s1 × 2^(n-1)

s7 = 300 × 2⁶ = 300 × 64 = 19,200

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How many 1/2 foot pieces can be cut from 6 foot ribbon?
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2 years ago
Geometric sequences HELP ASAP!
Pani-rosa [81]

Given:

The table for a geometric sequence.

To find:

The formula for the given sequence and the 10th term of the sequence.

Solution:

In the given geometric sequence, the first term is 1120 and the common ratio is:

r=\dfrac{a_2}{a_1}

r=\dfrac{560}{1120}

r=0.5

The nth term of a geometric sequence is:

a_n=ar^{n-1}

Where a is the first term and r is the common ratio.

Putting a=1120, r=0.5, we get

a_n=1120(0.5)^{n-1}

Therefore, the required formula for the given sequence is a_n=1120(0.5)^{n-1}.

We need to find the 10th term of the given sequence. So, substituting n=10 in the above formula.

a_{10}=1120(0.5)^{10-1}

a_{10}=1120(0.5)^{9}

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a_{10}=2.1875

Therefore, the 10th term of the given sequence is 2.1875.

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