Explicit formulas for arithmetic sequences are derived from terms in arithmetic sequences. It helps to find each term in arithmetic progression easily. The arithmetic progression is a1, a2, a3, ..., an. where the first term is denoted as 'a', we have a = a1, and the tolerance is denoted as 'd'. The tolerance formula is d = a2 - a1 = a3 - a2 = an - an - 1. The nth term of the arithmetic progression represents the explicit formula for the arithmetic progression.
Explicit formula: an= a + (n − 1) d
Explicit formula: Sn = n/2 [2a+(n-1) d]
Where,
nth term in the arithmetic sequence
a = first term in the arithmetic sequence
d = difference (each term and its term difference) previous term, i.e., d = an-an-1
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The Fernandez family would have driven 208 miles in a rate of 4 hours.
Answer:
The youngest child will receive $2000
Step-by-step explanation:
A father decided to give 25% of his monthly income to his three children as their monthly allowance.
The eldest child got 45% of the allowance and the youngest got 20%. This means that the second child got:
100 - (45 + 20) = 100 - 65 = 35%
The second child received $3500.
Let the 25% of his monthly income be x.
Hence:
35% of x = 3500
=> 
x = $10000
The amount the man shared among his children is $10000.
Hence, the youngest child (20%) will receive:
20% of $10000
= $2000
The youngest child will receive $2000.
Answer:
Simplify
1. 20:10 = 2:1
2. 30:36 = 5:6
3. 54: 12 = 18:7
Step-by-step explanation:
Answer for Number 1
The GCF of 20 and 10 is 10
Divide both by the GCF, 10:
20 ÷ 10 = 2
10 ÷ 10 = 1
The ratio 20 : 10 can be reduced t by dividing both terms by the GCF = 10
20 : 10 = 2 : 1
