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Alexus [3.1K]
3 years ago
7

What is the explicit rule for the geometric sequence? a1=4; an=1/3 x an-1

Mathematics
1 answer:
MArishka [77]3 years ago
3 0

Answer:

  (c)  an = 4·(1/3)^(n-1)

Step-by-step explanation:

The explicit rule for a geometric sequence with first term a1 and common ratio r is ...

  an = a1·r^(n-1)

The factor in the recursive rule tells you the common ratio is 1/3, so the explicit rule is ...

  an = 4·(1/3)^(n-1) . . . . . . matches choice C

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skad [1K]

Answer:

For #2: It's C. 17 nickels and 15 quarters.

Step-by-step explanation:

17*5= 85

15*25= 375

375+85= 460

add in the decimal:

17* 5 cents= $.85

15* 25 cents= $3.75

$3.75+ $.85= $4.60

7 0
3 years ago
Rafael writes an expression to represent “a number, n, decreased by thirty-one.” Then he evaluates that expression if n=29. Whic
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3 0
3 years ago
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PLZ HELP Which equation could have been used to create this table?
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Y=6x because once you plug in the x value you’ll get the same y values as in the table
5 0
3 years ago
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I'd greatly appreciate the help-
dem82 [27]

Answer:

The 3rd option

Step-by-step explanation:

To prove that 2 triangles are similar, we need to prove that 2 pairs of their angle measurements are congruent.

This is because all triangles have 180 degrees, so if 2 pairs are congruent, the remaining angles will also be congruent

We know that m<D=m<E

We also know that m<DCA=m<ECB because they are vertical angles.

Vertical angles are always congruent.

Therefore, the triangles are similar.

The correct similarity statement would be 1, since <D corresponds with <E.

Now let's look at the 3rd Statement. To prove that two lines are similar, we would have to prove that their alternate interior angles are congruent.

A pair of alternate interior angles would be <D and B or or <E  and <A

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7 0
3 years ago
Solve for x.<br><br> 3/5x + 1/4x=51<br> x=?
Tanzania [10]

Answer:

x=60

Step-by-step explanation:

3/5x + 1/4x=51

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Double-Check:

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Hope it helped!

5 0
3 years ago
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