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

The required equation is

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,

Where, is the nth term

is the first term

n is the number of terms

d is the common difference

Therefore, The required equation is

the correct answer is 5 6 and 7

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

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