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inessss [21]
3 years ago
14

(Please Help!) The formula to find a certain number in an arithmetic sequence is an=a1+d(n−1) where an represents the nth term o

f the sequence, a1 is the first term of the sequence, and d is the common difference. Solve for d.

Mathematics
2 answers:
k0ka [10]3 years ago
7 0

Answer:

The correct option is A) d=\frac{a_n-a_1}{n-1}

Step-by-step explanation:

Consider the provide equation.

a_n=a_1+d(n-1)

We need to solve the equation for d.

Subtract a_1 from both sides

a_n-a_1=a_1-a_1+d(n-1)

a_n-a_1=d(n-1)

Divide both sides by n-1.

\frac{a_n-a_1}{n-1}=\frac{d(n-1)}{n-1}

d=\frac{a_n-a_1}{n-1}

Hence, the correct option is A) d=\frac{a_n-a_1}{n-1}

Varvara68 [4.7K]3 years ago
5 0

Answer:

A

Step-by-step explanation:

you move the a^1 to the left which becomes a^n-a^1. then you move (n-1) to the left as well which becomes a^n-a^1/n-1=d. you switch the places and tada, the answer.

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2.32x10 to the fifth power
laiz [17]
2.32 x 10⁵ = 232000

This can be solved by multiplying 2.32 to the product of 10 multiplied 5 times.

10⁵ = 10 * 10 * 10 * 10 *10
10⁵ = 100,000

2.32 x 100000 = 232000

The given equation is the standard form of a decimal number. It is used to write down a very large or very small number easily.

There are a lot of standard forms. Like: Standard form of an equation and Standard form of a polynomial.


3 0
3 years ago
Read 2 more answers
George earn 3 dollars each time he sweeps and mops in the family room for you trying to earn $17 for tickets to the end of the s
uranmaximum [27]
17+4=21 
21 divided by 3= 7
17 dollars for tickets 
21-4=17
so your answer is 21 he has to sweep the floor 21 times to get tickets

5 0
3 years ago
Complete the proof by providing the missing statement and reasons
Fittoniya [83]

Answer:

2. angle bisector splits into even halves

Step-by-step explanation:

that's all i can assist with sorry, proofs still confuse me!

3 0
3 years ago
Anyone can help me I would appreciate it
Kisachek [45]

Answer:

This would be shifted down 8 and made 3 times less steep.

Step-by-step explanation:

In order to determine these transformations, we first need to compare the constants at the end. This will determine the up or downward shift. Since the f(x) is 5 and the g(x) is -3, we know that it went down 8.

Next we compare the coefficients of x. Since the f(x) is 6 and the g(x) is 2, we know that it is 3 times less steep.

7 0
3 years ago
Get the general term for the sequence being your t3 = 11 and the t20 = 244.2
marusya05 [52]

Answer:

nth term = t_{n} = 7.639(1.2)^{n - 1}

Step-by-step explanation:

Let us assume that the given sequence is a G.P.

Now, if the first term of the G.P. is a and the common ratio is r, then

Third term = t_{3} = ar^{2} = 11 .......... (1) and  

20th term = t_{20} = ar^{19} = 244.2 ........... (2)

Now, dividing equation (2) with equation (1) we get

\frac{ar^{19} }{ar^{2} } = \frac{244.2}{11} = 22.2

⇒ r^{17} = 22.2

⇒ r = 1.2.

Hence, from equation (1) we get

a(1.2)² = 11

⇒ a = 7.639 (Approx.)

Therefore, the general term of the sequence i.e. nth term = t_{n} = 7.639(1.2)^{n - 1} (Answer)

5 0
3 years ago
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