The 21st term of the given arithmetic sequence is 83. The nth term of an arithmetic sequence is applied to find the required value where n = 21.
<h3>What is the nth term of an arithmetic series?</h3>
The nth term of an arithmetic sequence is calculated by the formula
aₙ = a + (n - 1) · d
Here the first term is 'a' and the common difference is 'd'.
<h3>Calculation:</h3>
The given sequence is an arithmetic sequence.
3, 7, 11, 15, 19, ....
So, the first term in the sequence is a = 3 and the common difference between the terms of the given sequence is d = 7 - 3 = 4.
Thus, the required 21st term in the sequence is
a₂₁ = 3 + (21 - 1) × 4
⇒ a₂₁ = 3 + 20 × 4
⇒ a₂₁ = 3 + 80
∴ a₂₁ = 83
So, the 21st term in the given arithmetic sequence is 83.
Learn more about the arithmetic sequence here:
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Answer:
x = - 5
Step-by-step explanation:
Given
f(x) = 
The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be.
solve : 3x + 15 = 0 ⇒ 3x = - 15 ⇒ x = - 5 ← excluded value
Domain x ∈ R , x ≠ - 5
Answer:
It is a better deal to do the 6.50 for 12 ounces
Step-by-step explanation:
The reason is because the is 16 ounces in a pound so you would do 8.99/16 and you get .56 per ounce but is you do 6.50/12 you get .54 per ounce which is a better deal.
Hope this helped!!
Answer:
It is known that in the periodic inventory, the accounting record of the stock of goods will occur only at the end of a certain period with the physical count of the existing quantities. Consider the following CVM information = 500.00; Initial Inventory = 700.00 and Purchases = 800.00. Applying the concept of periodic inventory and applying the formula for calculating the CMV, determine the value of the final stock.
ALTERNATIVES
Final stock of 2,000.00.
Final stock of 1,500.00.
Final stock of 1,300.00.
Final stock of 1,200.00.
Final stock of 1,000.00.
Final Stock (EF) = 1,000.00
Step-by-step explanation:
Alternative E - Final stock of 1,000.00.
Given That,
CMV = 500,00
Initial Stock (EI) = 700.00
Purchases (C) = 800.00
Final Stock (EF) = ?
Formula
CMV = Initial Stock (EI) + Purchases (C) - Final Stock (EF)
CMV = EI + C - EF
500 = 700 + 800 - EF
500.00 = 700.00 + 800.00 -X
500 = 1500- EF
500.00 = 1,500.00-X
EF = 1500-500
X = 1,000.00
EF = 1,000.00
Therefore, the final stock is 1,000
Answer:
simple just divide it by finding the reciprocal for the second number
ex: 2/4=4/2
then multiply
Step-by-step explanation:
