All categories

2 years ago

first sequence: 3 8 13 18 23 second sequence: -2 4 10 16 . find the TWO numbers that are in both number sequences.

Mathematics

1 answer:

azamat2 years ago

6 0

$a(n) = 3 + 5n$

$b(n) = - 2 + 6n$

$a(n) = b(n) \\ 3 + 5n = - 2 + 6n \\ 5 = n \\ n = 5 \: (6th \: term)$

$a(5) \: or \: b(5) = 3 + 5(5) = 28$

You might be interested in

Mr. Zelman wants to give 50% of his comic book collection to his nephew Alex. If Mr. Zelman has 800 comic books, then how many w

BARSIC [14]

Mr. Zelman gave 400 books to his nephew

Solution:

Given that, Mr. Zelman wants to give 50% of his comic book collection to his nephew Alex

Mr. Zelman has 800 comic books

Number of books with Zelman = 800

Mr. Zelman wants to give 50% of books to Alex

Number of books given to nephew = 50 % of books of Zelman

Therefore, we have to find 50 % of 800

$\rightarrow 50 \% \text{ of } 800$

$\rightarrow 50 \% \times 800\\\\\rightarrow \frac{50}{100} \times 800 = 400$

Thus he gave 400 books to his nephew

4 0

2 years ago

Find the common ratio of the geometric sequence 4, -20, 100, -500, ...

asambeis [7]

Answer:

r = -5. Find the pattern and write the recursive formula: a_n + 1 = - 5 a_nGiven the recursive formula: r =

6 0

1 year ago

Can anyone help with the last problem about The Difference Quotient of a Function

Marysya12 [62]

Answer:

tbh i really dont know

Step-by-step explanation:

3 0

2 years ago

The surface areas of two similar solids are 340 yd² and 1,158 yd². The volume of the larger solid is 1,712 yd³. What is the volu

ratelena [41]

The ratio of surface area is equal to the ratio of the square of the corresponding dimensions. And ratio of volumes of two solids is equal to the cube of the ratio of the corresponding dimensions .

We start with the relation between ratio of surface area and ratio of corresponding sides. That is

$\frac{340}{1158}=(\frac{x}{y} )^2$

Here x and y are the corresponding sides .

$\frac{x}{y} =\sqrt{\frac{340}{1158} } =0.542$

Let the volume of the smaller one be v

$\frac{v}{1712}=0.542^3$

$v=1712*0.542^3=272$

So for the smaller solid, volume is 272 . And the correct option is the first option .

4 0

3 years ago

Write the following equation in slope-intercept form. 1/3 - y+6=0

Radda [10]

Answer:

y=19/3

Step-by-step explanation:

4 0

2 years ago

first sequence: 3 8 13 18 23 second sequence: -2 4 10 16 . find the TWO numbers that are in both number sequences.​

first sequence: 3 8 13 18 23 second sequence: -2 4 10 16 . find the TWO numbers that are in both number sequences.