Find the third, fifth, and seventeenth terms of the sequence described by each explicit formula
2 answers:
Answer:
3rd, 5th and 17th terms are 14, 20, 56 respectively.
Step-by-step explanation:
The given question is incomplete; find the complete question in the attachment.
In this question explicit formula has been given as,
f(n) = 8 + 3(n -1)
We have to find the 3rd, 5th and 17th term of the sequence described by the explicit formula given above.
For 3rd term,
Substitute n = 3 in the formula,
f(3) = 8 + 3(3 - 1)
= 8 + (3 ×2)
= 8 + 6
= 14
Similarly. for n = 5,
f(5) = 8 + 3(5 - 1)
= 8 + 3(4)
= 8 + 12
= 20
For n = 17,
f(17) = 8 + 3(17 - 1)
= 8 + 3(16)
= 8 + 48
= 56
Therefore, 3rd, 5th and 17th terms are 14, 20 and 56 respectively.
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The pH of the weak acid is 3.21
Butyric acid is known as a weak acid, we need the concentration of [H+] formula of weak acid which is given by this equation :
where [H+] is the concentration of ion H+, Ka is the weak acid ionization constant, and Ma is the acid concentration.
Since we know the concentration of H+, the pH can be calculated by using
pH = -log[H+]
From question above, we know that :
Ma = 0.0250M
Ka = 1.5 x 10¯⁵
By using the equation, we can determine the concentration of [H+]
[H+] = √(Ka . Ma)
[H+] = √(1.5 x 10¯⁵ . 0.0250)
[H+] = 6.12 x 10¯⁴ M
Substituting the value of [H+] to get the pH
pH = -log[H+]
pH = -log(6.12 x 10¯⁴)
pH = 3.21
Hence, the pH of the weak acid c3h7cooh is 3.21
Find more on pH at: brainly.com/question/14466719
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