All categories

3 years ago

Consider the sequence {3,6,9,12,15,…}. Find n if an = 735. Show all steps including the formulas used to calculate your answer.

Mathematics

1 answer:

vekshin13 years ago

5 0

Answer:

n = 245

Step-by-step explanation:

The given sequence is 3,6,9,12,15,…

nth term of the AP is 735

We know that, the nth term of an AP is given by :

$a_n=a+(n-1)d$

d is common difference, d = 6-3 = 3

Put all the values to find n.

$735=3+(n-1)3\\\\732=(n-1)3\\\\\dfrac{732}{3}=n-1\\\\n=244+1\\\\n=245$

So, there are 245 terms in the sequence.

You might be interested in

A trucking firm has a large inventory of spare parts that have been in storage for a long time. It knowsthat some proportion of

Debora [2.8K]

Answer:

$0.1546\leq \widehat{p}\leq 0.3513$

Step-by-step explanation:

The firm tests 75 parts, and finds that 0.25 of them are notusable

n = 75

x = 0.25 \times 75 = 18.75≈19

$\widehat{p}=\frac{x}{n}$

$\widehat{p}=\frac{19}{75}$

$\widehat{p}=0.253$

Confidence level = 95%

So, Z_\alpha at 95% = 1.96

Formula of confidence interval of one sample proportion:

$=\widehat{p}-Z_\alpha \sqrt{\frac{\widehat{p}(1-\widehat{p}}{n}}\leq \widehat{p}\leq \widehat{p}+Z_\alpha \sqrt{\frac{\widehat{p}(1-\widehat{p}}{n}}$

$=0.253-(1.96)\sqrt{\frac{0.253(1-0.253)}{75}}\leq \widehat{p}\leq0.253+(1.96)\sqrt{\frac{0.253(1-0.253}{75}}$

Confidence interval $=0.1546\leq \widehat{p}\leq 0.3513$

7 0

3 years ago

Please don't give me a FILE<br> PLEASE HELPPP ILL GIVE 15 POINTS AND BRAINLIST

pickupchik [31]

Answer:

3/2

Step-by-step explanation:

My reasoning is that the sum of the numbers in the left is equal to the sum of the numbers in the right.

Therefore 6=2y+3

2y=6-3

2y=3

y=1.5 or 1and a half which is equivalent to 3/2

4 0

3 years ago

Jamie has a half-sheet cake. If she has six friends, how much will each one get?

sesenic [268]

Answer:

<h2>The answer is </h2><h2>B. 1/12</h2>

Step-by-step explanation:

step one:

From the problem state, we can actually conclude that Jamie wants to share the half sheet of cake among her 6 friends

step two:

we can express this problem mathematically as

$=\frac{1}{\frac{2}{6} }$

we can inverse the denominator and use a multiplication sign instead

$\\\\= \frac{1}{2}*\frac{1}{6}$

multiplying both denominators we have

$\\\\= \frac{1}{12}$

The answer is B 1/12

8 0

3 years ago

Please help i don't know what to do

Alik [6]

Answer:

The answer is A .

Step-by-step explanation:

Hope it helps u , good luck ^.^

4 0

3 years ago

Use long division to find the quotient below (8x^3+20x^2+36)/(2x+6)

blsea [12.9K]

Answer: 14x - 42

Hope this helps!

6 0

2 years ago