What is the next term in the sequence? 34, 27, 20, 13, . . 6 7 5 8

5

Step-by-step explanation: To find out what the next term in the sequence is, we first need to find the common difference. The common difference is the distance between consecutive terms. In this sequence of numbers, we can see that the sequence starts at 34 which is our first term and we are subtracting 7 to reach our next term. If we continue this pattern, let's jump to 13. To find the next term in the sequence, all we have to do is subtract 7 to reach our next term.

13 - 7 = 5  

Therefore, the next term in the sequence is 5.

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.