Find the nth term of this quadratic sequence 2,8,18,32,50

= 2n²

Step-by-step explanation:

From the sequence 2,8,18,32,50

The difference between each numbers are

: 6, 10, 14, 18

The difference between the second sequence is 4.

Therefore the nth term of the sequence is 2n²

2n²

Step-by-step explanation:

Since the sequence is quadratic we know this must involve an n² term

Consider each term

n = 1 → 1² = 1 → 1 × 2 = 2

n = 2 → 2² = 4 → 4 × 2 = 8

n = 3 → 3² = 9 → 9 × 2 = 18

n = 4 → 4² = 16 → 16 × 2 = 32

n = 5 → 5² = 25 → 25 × 2 = 50

n = n → n² → n² × 2 = 2n²

Thus the n th term is 2n²

this is false ^.^ lol

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;