Find the explicit formula for the arithmetic sequence cn given below. Note that c1=8. 8,17,26,35,44,…

Step-by-step explanation:

Recall that the general formula for the nth term of an arithmetic sequence is given by:

where    is the first term of the sequence (in our case 8), and is the common difference for the sequence (the number that is added to a term in order to get the term that follows. In our case, "9" is the common difference (you can check this by subtraction between any two consecutive terms.

Then, the formula for the nth term of this sequence is

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.