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3 years ago

5

Is second term of a geometric series is 48 and it's fifth term is 6 then find the sum of the first 6 terms.

1 answer:

AlekseyPX3 years ago

5 0

Answer:

the sum of the first 6 terms =189

Step-by-step explanation:

the first 6 terms-

96,48,24,12,6,3

I found them easily by dividing 48 with random small numbers until I got 6 for the fifth term. So here I divided 48 by 2 which is = 24(3rd term), then divided 24 by 2 which is =12(4th term) and then again decide the answer by 2 and finally got 6 for the 5th term. So the ratio is 1/2. For the first term I did the opposite, multiply 48 by 2 which is = 96. And lastly find the sixth term and add them up which is = 189

I tried my best to explain it in simple terms, hope this helps:)

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Answer:

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Step-by-step explanation:

We are given that the dimension of the bricks are,

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Thus, we have,

Volume of 1 brick, $V_{B}$ = Length × Width × Height

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So, the volume of 1 brick is 48 inch².

Also, the dimensions of the wall are given by,

Length = 14’5” = 173 inches, Width = 5’5” = 65 inches and Height = 0.5' = 6 inches

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i.e. Number of bricks = 1406

Hence, 1406 bricks are needed to construct the wall.

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