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Misha Larkins [42]
3 years ago
8

A G.P is such that the 3rd term minus a first term is 48. The 4th term minus 2nd term 144. Find: (i) Common ratio ii) The first

term (ii) 6th term of the sequence​
Mathematics
1 answer:
EleoNora [17]3 years ago
8 0

Answer:

Step-by-step explanation:

r is the common ratio.

Third term minus first term is 48.

a₃ - a₁ = 48

a₃ = a₁r²

a₁r² - a₁ = 48

a₁(r²-1) = 48

r²-1 = 48/a₁

Fourth term minus second term is 144.

a₄ - a₂ = 144

a₂ = a₁r

a₄ = a₁r³

a₁r³ - a₁r = 144

a₁r(r²-1) = 144

r²-1 = 144/(a₁r)

48/a₁ = 144/(a₁r)

r = 3

:::::

r²-1 = 48/a₁

a₁ = 6

:::::

a₆ = a₁r⁵ = 1458

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Answer:

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Step-by-step explanation:

Welcome to Brainly!

One way of doing this problem follows:

Find the ratio, r, mentioned in the problem statement.  To do this,

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8r = 7912, so that r = 989.

Then the number of yes votes was 3(989), or 2967, and the number of no votes was 5(989), or 4947.

check:  Does the ratio 2967/4947 equal 3/5?  yes.

There were 2967 yes votes.

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3 years ago
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Parenthesis

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Division

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3.1+6.4 = 9.5

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Then we do figure out the exponent.

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Then we do subtraction then addition because PEMDAS also tells us we should do adding and subtracting from left to right. In this expression, subtracting is on the left side so we should do that first.

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