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3 years ago

Evaluate 3(a b c)2 for a = 2, b = 3, and c = 4.

Mathematics

1 answer:

DiKsa [7]3 years ago

6 0

3(a b c)2 so acc. To ques. 3(2×3×4)2 3(24)2 = 144

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Given a geometric sequence with a1 = 6 and r= 2/3 write an explicit formula for an the nth term of the sequence.

fomenos

the explicit formula for aₙ the nth term of the sequence will be: $a_{n}=6\times (\frac{2}{3})^{n-1}\\$

Step-by-step explanation:

The explicit formula of geometric sequence is of the form:

$a_{n}=a_{1}r^{n-1}$

where a₁ is the first term and r is the common ratio.

We are given:

a₁ = 6

r = 2/3

Putting values in the formula:

$a_{n}=a_{1}r^{r-1}\\a_{n}=6\times (\frac{2}{3})^{n-1}\\$

So, the explicit formula for aₙ the nth term of the sequence will be: $a_{n}=6\times (\frac{2}{3})^{n-1}\\$

Keywords: Explicit formula for geometric sequence

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6 0

2 years ago

Solve for u<br> 6≤ -9/4u

masya89 [10]

if you mean.

$6 \leqslant \frac{4u}{ - 9}$

then the answer would be,

$u \leqslant - \frac{27}{2}$

7 0

2 years ago

Read 2 more answers

A box has dimensions of 19 inches long, 1.7 feet wide, and 6 inches high. What is the volume of the box? The formula for the vol

denis-greek [22]

convert the feet to inches. then multiply all 3 numbers to get your answer

1.7 feet = 1.7 x 12 = 20.4 inches

19 x 20.4 x 6 = 2325.6 cubic inches

3 0

3 years ago

Gigi earned $65 for 5 hours of gardening. She earned $90 for 9 hours of office work. Which statement correctly compares Gigi’s e

ololo11 [35]

C. She earned $3 per hour for gardening than for office work. You have to find the unit rate of how much she made per hour then subtract it.

90/9=10

65/5=13

13-10=3

4 0

3 years ago

Can someone help me? Plzzzzz :c I need it for tmw

lys-0071 [83]

$x-cost\ of\ DVD\\y-cost\ of\ video\ game\\\\ \left \{ {{3x+14y=203\ \ \ } \atop {11x+11y=220\ \ } \right. \\\\ From\ first\ second:\\11x=220-11y\ \ \ \ |:11\\x=20-y\\\\Substitute\ to\ first:\\3(20-y)+14y=203\\60-3y+14y=203\\-3y+14y=203-60\\11y=143\ \ \ \ |:11\\y=13\\\\x=20-13=7\\\\ \left \{ {{y=13} \atop {x=7}} \right.$

5 0

2 years ago

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