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2 years ago

Find the exact value of the eighth term of the geometric sequence: 648,216,72,24

Mathematics

1 answer:

NikAS [45]2 years ago

7 0

8th term is 0.30

Step-by-step explanation:

Step 1: nth term of a GP = a × r^n-1

Step 2: Find r.

⇒ r = a2/a1 = 216/648 = 1/3

Step 3: Calculate 8th term. a = 648, r = 1/3 and n = 8

⇒ 8th term = 648 × (1/3)^8-1 = 648 × (1/3)^7 = 648/2187 = 0.30

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A packaging company is planning is in the planning stages of creating a box that include a three dimensional support inside the

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Answer:

The length of the diagonal support is 69 feet.

Step-by-step explanation:

Dimensions of the box: length = 6 feet

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height = 8 feet

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From the base of the box, let the length of its diagonal be represented by x. Applying Pythagoras theorem;

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let the length of the diagonal support be represented by l. So that;

$/Hyp/^{2}$ = $/Adj 1/^{2}$ + $/Adj 2/^{2}$

$l^{2}$ = $x^{2}$ + $8^{2}$

= $\sqrt{61}$ + 64

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3 years ago

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Answer:

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2 years ago

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d1i1m1o1n [39]

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