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3 years ago

Define the sequence: 1, 3, 7, 13, 21, ... recursively

Mathematics

2 answers:

Andreas93 [3]3 years ago

6 0

Answer:

They keep on adding by even numbers. From 1-3 there is 2 between the number from 3-7 it's 4 from 7-13 its 6 from 13-21 it's 8.

Step-by-step explanation:

The next number is the sequence would be 31 beucase 10 is the next even number and 21+10=31.

Julli [10]3 years ago

6 0

So, what you need to do is constantly add by even numbers.

Now, throughout 1 to 3 there is the number 2 between the number from 3 to 7 so it's 4 from 7 to 13 its 6 from 13 to 21.

So, your final answer is going to be 8!

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enyata [817]

Step-by-step explanation:

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3 years ago

$2500 in saving account earing 3,5 perccent interest. what was the the total interest earnedin 6 years

Dvinal [7]

Answer:

$I=\$525$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$I=P(rt)$

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=6\ years\\ P=\$2,500\\r=3.5\%=3.5/100=0.035$

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8 0

3 years ago

What is the first thing you need to do to add 1/9+5/6? A.add the number. B.add the denominators. C.find the least common denomin

QveST [7]

C.)Find the lest common denominator.

3 0

3 years ago

Use the Fundamental Theorem of Calculus to find the "area under curve" of

lozanna [386]

Answer:

$\displaystyle A = 300$

General Formulas and Concepts:

Calculus

Integrals

Definite Integrals
Area under the curve
Integration Constant C

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Rule [Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)$

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Integration Property [Addition/Subtraction]: $\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx$

Area of a Region Formula: $\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx$

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 6x + 19

Interval [12, 15]

Step 2: Find Area

Substitute in variables [Area of a Region Formula]: $\displaystyle A = \int\limits^{15}_{12} {(6x + 19)} \, dx$
[Integral] Rewrite [Integration Property - Addition/Subtraction]: $\displaystyle A = \int\limits^{15}_{12} {6x} \, dx + \int\limits^{15}_{12} {19} \, dx$
[Integrals] Rewrite [Integration Property - Multiplied Constant]: $\displaystyle A = 6\int\limits^{15}_{12} {x} \, dx + 19\int\limits^{15}_{12} {} \, dx$
[Integrals] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle A = 6(\frac{x^2}{2}) \bigg| \limits^{15}_{12} + 19(x) \bigg| \limits^{15}_{12}$
Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: $\displaystyle A = 6(\frac{81}{2}) + 19(3)$
Simplify: $\displaystyle A = 300$