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charle [14.2K]
3 years ago
7

Find the 16th term , given the first term and the common difference. a1=8 and d=3

Mathematics
1 answer:
sattari [20]3 years ago
8 0
By using the formula for arithmetic sequence, the 16th term of the progression can be obtained. Given A1=8 and d=3,
A16=A1+(n-1)d
A16=8+(16-1)(3)
A16=53
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A GP has 8 terms, it's first and last terms are 0.3 and 38.4/, calculate the common ratio
gladu [14]

Answer: The right  answer is 2

Step-by-step explanation:

  1. Write out the expression

T1; a = 0.3 ------------ (I)

T8; ar^7 = 38.4 ------------ (ii)

Substituting for 'a' in the second equation, we have;

0.3r^7 = 38.4

0.3r^7 = 38.4

Divide both sides by 0.3

r^7 = 38.4/0.3

r^7 = 128

r = (128)^1/7

r = 2

5 0
3 years ago
525/4 ÷ 35/4 need the answer quick​
dalvyx [7]

Answer:

15

Step-by-step explanation:

525/4 ÷ 35/4

=525/4 x 4/35

=525/35

=105/7

=15/1

=15

5 0
3 years ago
Solve for p.
Marat540 [252]
Hi there

3(p + q) = q
Solve for P

Use the distributive property
(3)(p) + (3)(q) = q
3p + 3q = q
3p = q-3q
3p = -2q
p = -2q/3

The answer is D

If you have any further questions please let me know :)
8 0
3 years ago
Read 2 more answers
HELP IS MUCH NEEDED :)
ElenaW [278]
∠ADC = 112°
∠ADC =6x + 7 + 12x - 3

Equate both:
6x + 7 + 12x - 3 = 112

Solve for x :
6x + 7 + 12x - 3 = 112

Combine like terms:
18x + 4= 112

Take away 4 from both sides:
18x = 108

Divide both sides by 18:
x = 6

Find ∠ADB:
6x + 7 = 6(6) + 7 = 43


Answer: ∠ADB = 43°

5 0
3 years ago
Read 2 more answers
In the library at lenape elmentary school, there are 3/8 as, many fiction books as there are nonfiction books. There are 44 book
N76 [4]

Answer:

12 fiction books.

Step-by-step explanation:

Let b represent number of non-fiction books.

We have been given that in the library at Lenape elementary school, there are 3/8 as many fiction books as there are nonfiction books. So number of fiction books would be \frac{3}{8}x.

We are also told that there are 44 books in school library. We can represent this information in an equation as:

x+\frac{3}{8}x=44

Let us solve for x.

\frac{8x}{8}+\frac{3}{8}x=44

\frac{8x+3x}{8}=44

\frac{11x}{8}=44

\frac{11x}{8}\cdot \frac{8}{11}=44\cdot\frac{8}{11}

x=4\cdot 8

x=32

Therefore, there are 32 non fiction books in the library.

Number of fiction books would be \frac{3}{8}x\Rightarrow \frac{3}{8}*32=3*4=12

Therefore, there are 12 fiction books in the library.

5 0
2 years ago
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