I need help with number 3 on solving quadratic equations by the quadratic formula

Find the sum of the first 47 terms of the following series, to the nearest integer.

topjm [15]

Answer:

The sum of the first 47 terms of the given series = 6016

Step-by-step explanation:

Given the sequence

13, 18, 23, ...

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

$18-13=5,\:\quad \:23-18=5$

As the difference between all the adjacent terms is the same.

so

$d=5$

$a_1=13$

Arithmetic sequence sum formula

$n\left(a_1+\frac{d\left(n-1\right)}{2}\right)$

Put the values

$d=5$

$a_1=13$

$n=47$

$=47\left(13+\frac{5\left(47-1\right)}{2}\right)$

$=47\left(13+115\right)$

$=47\cdot \:128$

$=6016$

Thus, the sum of the first 47 terms of the given series = 6016

8 0

2 years ago

3x + 5 - 4x + q whats the answer?

Mamont248 [21]

The answer is −x+5+q

3 0

2 years ago

Read 2 more answers

The table shows the distribution of male

sattari [20]

Answer:

1/6

Step-by-step explanation:

5 0

2 years ago

What is the slope-intercept form of the following equation?

spin [16.1K]

Y=-.5x+3
Explanation: Move the x to the other side by subtracting it from both sides, you end up with 10y=30-5x then you divide 10 from both sides and you end up with y=-.5x+3

5 0

2 years ago

An initial number of bacteria presented in a culture is 1,000. This number triples every 30 minutes. Write a function expressing

Svetlanka [38]

Tripiling time is
$A=P(3)^ \frac{t}{r}$
t=time elapsed
r=tripling time
P=initial amount

so

$A=1000(3)^ \frac{t}{30}$
when time is measured in minutes
if measured in hours then

$A=1000(3)^{2t}$ or $A=1000(9)^{t}$

8 0

3 years ago