What is the solution for f(n)=1.25n+6.25; by using explicit rule!

n = 15

Step-by-step explanation:

The given explicit formula is f(n) = 1.25n + 6.25

In which n represents the number of term of the sequence

If f(n) = 25

Then 25 = 1.25n + 6.25

Now we subtract 6.25 from both the sides of the equation.

25 - 6.25 = 1.25n

1.25n = 18.75

Further we divide this equation by 1.25

n = 15

Therefore, n = 15 is number of term.

it is x equals 3   plese mark me really need it

step-by-step explanation:

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week