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tatuchka [14]
3 years ago
6

Which of the following are explicit equations for the nth term of some kind of arithmetic sequence? a) Pn=p1+(n-1)p1 b) an=an-1+

d c) xn=x1(n-1) d) xn=xn-1+vt e) pn=pn-1+ip1
Mathematics
1 answer:
Dimas [21]3 years ago
7 0

Answer:

The required equation is a_n=a_1+(n-1)d

Step-by-step explanation:

To find : Which of the following are explicit equations for the nth term of some kind of arithmetic sequence?    

Solution :

The Explicit formula which shows the nth term of a sequence in terms of n is given by,

a_n=a_1+(n-1)d

Where, a_n is the nth term

a_1 is the first term

n is the number of terms

d is the common difference

Therefore, The required equation is a_n=a_1+(n-1)d

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On the first day of baseball tournament Jessie scored 2 runs. On the second day, 4 runs. On the third day, 6 runs. If this patte
Allushta [10]

Answer:

16 runs.

Step-by-step explanation:

We have been given that on the first day of baseball tournament Jessie scored 2 runs. On the second day, 4 runs. On the third day, 6 runs.

We can see that runs scored by Jessie form an arithmetic sequence, where each successive term is 2 more than the previous term.

Since we know that formula for nth term of an arithmetic sequence is: a_n=a_1+(n-1)d, where,

a_n=\text{nth term of the sequence},

a_1=\text{1st term of the sequence},

n=\text{Number of terms of the sequence},

d=\text{Common difference}.

Since on the first day Jessie scored 2 runs, so a_1=2 and difference between two consecutive terms is 2 (4-2=2), so d will be 2.

Upon substituting our values in arithmetic sequence formula we will get,

a_n=2+(n-1)*2

a_n=2+2n-2

a_n=2n

Therefore, formula for nth term of sequence representing number scored by Jessie on the baseball tournament is a_n=2n.

Let us find the 8th term of sequence by substituting n=8 in our sequence formula.

a_8=2*8

a_8=16

Therefore, Jessie should score 16 runs on the eighth day of baseball tournament.

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3 years ago
Please help! What does "x" equal?
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Answer: <em>3</em>

Step-by-step explanation:

<em>Take your equation x-1=2</em>

<em>Now put 3 in for x</em>

<em>3-1=2</em>

<em>2=2</em>

<em>x=3</em>

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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