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Answer:
a) 10th term is 0.051
b) The sum of first 18 terms of given sequence is 51.48
Step-by-step explanation:
We are given the sequence 26, 13, 6.5, ..... we need to find
a) 10th term
b) Sum of first 18 terms
Before solving we need to determine if the sequence is arithmetic or geometric
The sequence is arithmetic if common difference d is same.
The sequence is geometric if common ratio r is same.
Finding common difference d: 13-26 = -13, 6.5-13= -6.5
As common difference is not same so, the sequence is not arithmetic.
Finding common ratio r : 13/26 =0.5, 6.5/13= 0.5
As common ratio is same so, the sequence is geometric.
a) Finding common difference: 13-26 = -13, 6.5-13= -6.5
As common difference is not same so, the sequence is not arithmetic.
a) 10th term
The formula to find 10th term is:
We have a₁=26 and r = 0.5 n=10
So, 10th term is 0.051
b) Sum of first 18 terms
The formula to find sum of geometric series is:
where a= 1st term, r = common ratio and n= number of terms
In the given sequence we have
a=26, r=0.5 and n=18
Finding sum of first 18 terms
So, sum of first 18 terms of given sequence is 51.48
Answer:
Grade B score:
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 73.3
Standard Deviation, σ = 9.7
We are given that the distribution of score on test is a bell shaped distribution that is a normal distribution.
Formula:
B: Scores below the top 5% and above the bottom 62%
We have to find the value of x such that the probability is 0.62
Calculation the value from standard normal z table, we have,
We have to find the value of x such that the probability is 0.05
Calculation the value from standard normal z table, we have,
Thus, the numerical value of score to achieve grade B is