Determine 2nd term and rth term of a.p.whose 6 th term is 12 and 8 th term is 22
1 answer:
Answer:
see explanation
Step-by-step explanation:
The n th term of an arithmetic progression is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given = 12 and
= 22, then
a₁ + 5d = 12 → (1)
a₁ + 7d = 22 → (2)
Subtract (1) from (2) term by term to eliminate a₁
2d = 10 ( divide both sides by 2 )
d = 5
Substitute d = 5 into (1) to find a₁
a₁ + 5(5) = 12
a₁ + 25 = 12 ( subtract 25 from both sides )
a₁ = - 13
Thus
= - 13 + 5 = - 8
= - 13 + 5(n - 1) = - 13 + 5n - 5 = 5n - 18 ← n th term
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- Sample size = n
- Population mean =
- Sample standard deviation = s
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For this case, we're specified that:
- Sample mean =
= 2.3
- Sample size = n = 15
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- Population standard deviation =
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Thus, the value of the z-statistic is evaluated as:
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