A^7 or a to the 7th power
Find a₁0 given that a7 = 6 and d = 3 in the arithmetic sequence.
1 answer:
The tenth term of the arithmetic sequence will be 15. Then the correct option is A.
<h3>What is the arithmetic sequence?</h3>Let a₁ be the first term and d is the common difference between the terms. Then the nth term will be given as
We have
a₇ = 6
d = 3
n = 7
Then the first term will be
a₇ = a₁ + (7 – 1)3
6 = a₁ + 18
a₁ = 6 – 18
a₁ = -12
Then the 10th term will be
a₁ = -12
d = 3
n =10
Then we have
a₁₀ = -12 + (10 – 1)3
a₁₀ = -12 + 27
a₁₀ = 15
Then the tenth term of the arithmetic sequence will be 15.
Then the correct option is A.
More about the arithmetic sequence link is given below.
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A random sample of 36 observations has been drawn from a normal distribution with mean 50 and standard deviation 12. Find the probability that the sample mean is in the interval 47<=X<53. Is the assumption of normality important. Why?
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Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
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And using a calculator, excel ir the normal standard table we have that:
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