Give the first six terms of the following sequences. You can assume that the sequences start with an index of 1.

(a) The nth term is n?.
(b) A geometric sequence in which the first value is 2 and the common ratio is 2.
(c) An arithmetic sequence in which the first value is 5 and the common difference is 3.
(d) In = [n/2] + [n/2]
(e) an = 21 + (-2)"
(f) The first term is 1 and the second term is

2. The rest of the terms are the sum of the two preceding terms. (g) 91 = 2 and 92 = 1. In = n. 9n-2 + 9n-1 for n > 3. (h) a = 1 and 22 = 3. an = an-1 - 7an-2 for n> 3.

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

sine

step-by-step explanation:

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

its 60

4 x 12 = 48

3 x 4 = 12

48 + 12 = 60

yeeeet