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vovangra [49]
3 years ago
5

Gordon is 5 years older then Krutika. David is 6 years younger than krutika if the total of their age is 86 how old is the eldes

t of them
Mathematics
1 answer:
Alisiya [41]3 years ago
8 0

Answer:

Gordan is the eldest and he is 34.

Step-by-step explanation:

Well let Krutica’s age = x

K = x

G = x+5

D = x-6

K+G+D = 86

x + x+5 + x-6 = 86

3x - 1 = 86

3x = 87

x = 29

Gordon is the oldest so G = 29+5

G = 34

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In a geometric sequence, a4 = 54 and a7 = 1,458. what is the 12th term? <br><br> answer: B) 354,294
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Option B:

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Solution:

Given data:

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To find a_{12}:

The given sequence is a geometric sequence.

The general term of the geometric sequence is a_n=a_1\ r^{n-1}.

If we have 2 terms of a geometric sequence a_n and a_k (n > K),

then we can write the general term as a_n=a_k\ r^{n-k}.

Here we have a_4=54 and a_7=1458.

So, n = 7 and k = 4 ( 7 > 4)

a_7=a_4\ .\ r^{7-4}

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This can be written as

$r^3=\frac{1458}{54}

$r^3=27

$r^3=3^3

Taking cube root on both sides of the equation, we get

r = 3

a_{12}=a_7\ .\ r^{12-7}

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a_{12}=354294

Hence the 12th term of the geometric sequence is 354294.

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