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3 years ago

When h has value 4 calculate 5h -3

1 answer:

5 0

5x4-3
5x4=20
so 20-3 = 17
your answer is 17.
You replace h with 4, then multiply 4 by 5 and then deduct 3 from the product.

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Find the general term of {a_n}

Assoli18 [71]

From the given recurrence, it follows that

$a_{n+1} = 2a_n + 1 \\\\ a_{n+1} = 2(2a_{n-1} + 1) = 2^2a_{n-1} + 1 + 2 \\\\ a_{n+1} = 2^2(2a_{n-2}+1) + 1 + 2 = 2^3a_{n-2} + 1 + 2 + 2^2 \\\\ a_{n+1} = 2^3(2a_{n-3} + 1) + 1 + 2 + 2^2 = 2^4a_{n-3} + 1 + 2 + 2^2 + 2^3$

and so on down to the first term,

$a_{n+1} = 2^na_1 + \displaystyle \sum_{k=0}^{n-1}2^k$

(Notice how the exponent on the 2 and the subscript of a in the first term add up to n + 1.)

Denote the remaining sum by S ; then

$S = 1 + 2 + 2^2 + \cdots + 2^{n-1}$

Multiply both sides by 2 :

$2S = 2 + 2^2 + 2^3 + \cdots + 2^n$

Subtract 2S from S to get

$S - 2S = 1 - 2^n \implies S = 2^n - 1$

So, we end up with

$a_{n+1} = 4\cdot2^n + S \\\\ a_{n+1} = 2^2\cdot2^n + 2^n-1 \\\\ a_{n+1} = 2^{n+2} + 2^n - 1 \\\\\implies \boxed{a_n = 2^{n+1} + 2^{n-1} - 1}$

5 0

2 years ago

What is the value of 6P6? A.1 B.36 C.720 D.46,656

3241004551 [841]

$the\ permutationon:\ \ n\ P\ x= \frac{n!}{(n-x)!} \\ \\6\ P\ 6= \frac{6!}{(6-6)!} = \frac{6!}{0!}= \frac{2\cdot3\cdot4\cdot5\cdot6}{1}=720$

$Ans.\ C$

3 0

3 years ago

The standard IQ test has a mean of 102 and a standard deviation of 13. We want to be 98% certain that that we are within 5 IQ po

aleksklad [387]

Answer:

Step-by-step explanation:

Margin of error = critical value × standard error

For 98% confidence, CV = 2.326 (from t table).

Standard error is σ / √n, where σ is the population standard deviation, and n is the sample size.

Plugging in:

5 = 2.326 × 13 / √n

n = 36.6

Rounding up, n = 37.

5 0

3 years ago

WILL GIVE BRIANLEIST DONT SCASM MEQuadrilaterals LMNO and STUV are similar. What is the value of x in inches? 6.6 in. 8.2 in. 22

jeka57 [31]

Answer:

6.6 inches

Step-by-step explanation:

4.1 times 3 = 12.3

2.2 times 3 = 6.6

I think this is right... sorry if not

6 0

3 years ago

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Meg paid $9 for two tuna sandwiches. At the same rate, how much does Meg pay for 8 tuna sandwiches?

sasho [114]

She would pay 36 dollars

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3 years ago