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3 years ago

Find the 17th term of the arithmetic sequence -5, 1, 7, 13, ... *

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

7 0

Answer:

Step-by-step explanation:-5, 1, 7, 13

the common diference is : d = ( 13)-(7)=(7)-(1)=(1)-(-5)=6

the firt term is A1 = -5

the n-ieme term is : An = A1 +(n-1)d

An = -5+6(n-1)

An = 6n-11

the 17th term in the arithmetic sequence is : A17 = 6(17)-11 =91

Read more on Brainly.com - brainly.com/question/15374982#readmore

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Which of the following is equivalent to <br><br> 5t−2r=25

lidiya [134]

Answer:

Solving for t : t=5+2r/5

Solving for r : r=-25/2+5t/2

Step-by-step explanation: Move all of your terms that don't contain r to the right side and solve. Move all terms that don't contain t to the right side and solve.

Hope this helps you out! ☺ I just solved it and I don't have any choices to go off of and so I just solved it. Sorry if it's wrong. ☺

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3 years ago

Question 2b only! Evaluate using the definition of the definite integral(that means using the limit of a Riemann sum

lara [203]

Answer:

Hello,

Step-by-step explanation:

We divide the interval [a b] in n equal parts.

$\Delta x=\dfrac{b-a}{n} \\\\x_i=a+\Delta x *i \ for\ i=1\ to\ n\\\\y_i=x_i^2=(a+\Delta x *i)^2=a^2+(\Delta x *i)^2+2*a*\Delta x *i\\\\\\Area\ of\ i^{th} \ rectangle=R(x_i)=\Delta x * y_i\\$

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$=(b-a)^2*a^2+(\dfrac{b-a}{n})^3*\dfrac{n(n+1)(2n+1)}{6} +2*a*(\dfrac{b-a}{n})^2*\dfrac{n (n+1)} {2} \\\\\displaystyle \int\limits^a_b {x^2} \, dx = \lim_{n \to \infty} \sum_{i=1}^{n} R(x_i)\\\\=(b-a)*a^2+\dfrac{(b-a)^3 }{3} +a(b-a)^2\\\\=a^2b-a^3+\dfrac{1}{3} (b^3-3ab^2+3a^2b-a^3)+a^3+ab^2-2a^2b\\\\=\dfrac{b^3}{3}-ab^2+ab^2+a^2b+a^2b-2a^2b-\dfrac{a^3}{3} \\\\\\\boxed{\int\limits^a_b {x^2} \, dx =\dfrac{b^3}{3} -\dfrac{a^3}{3}}\\$

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2 years ago

Drag each tile to the correct cell in the table.

Gnoma [55]

Answer:

Ari has 14 pennies.

Step-by-step explanation:

Number Value Total value

Pennies p $0.01 0.01p

Nickels (22 - p) $0.05 $(22 - p)0.05

Total 22 - $0.54

Since Ari has total value of the coins = $0.54

0.01p + (22 - p)0.05 = 0.54

0.01p - 0.05p + 1.1 = 0.54

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p = $\frac{0.56}{0.04}$

p = 14

Therefore, total number of pennies Ari has = 14

3 0

3 years ago

Read 2 more answers

the elevation of Death valley, California is -282 feet. the Mississippi river in Illinois has an elevation of 279 feet. which is

polet [3.4K]

Answer:

1 + 1 = 2

Step-by-step explanation:

2+2=4

hope it helps

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2 years ago

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serg [7]

59% of 2302....turn the percent to a decimal...." of " means multiply
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3 years ago