Answer:
an = 17n - 46
a50 = 804
Step-by-step explanation:
-29, -12, 5, 22, ...
Subtract each number from the next one.
-12 - (-29) = 17
5 - (-12) = 17
22 - 5 = 17
The common difference is 17. This is an arithmetic sequence which starts with -29, and in which each subsequent value is 17 more than the previous value.
a1 = -29
a2 = -29 + 17
a3 = -29 + 2(17)
a4 = -29 + 3(17)
Notice that for each term, you have -29 and something added to it. What you add to -29 is 17 multiplied by 1 less than the number of the term. For term 1, 1 less than 1 is 0. You add 0 * 17 to -29 and get -29. term 1 is -29. For term 2, 1 less than 2 is 1. You add 1 * 17 to -29 and get -12, etc.
For term n, 1 less than n is n - 1. Add (n - 1) * 17 to -29 to get term n.
an = -29 + 17(n - 1)
This formula can be simplified.
an = -29 + 17n - 17
an = -46 + 17n
an = 17n - 46
a50 = 17(50) - 46
a50 = 804
Answer: 47040
Step-by-step explanation:
5x5-6x3+20x14x4x3x14
25-18+47040
47033
Answer:
A) 21/7, or 3
B) 36/5, or 7 1/5
C) 35/25, or 1 15/25, or 1 3/5
D) 54/12, or 4 6/12, or 4 1/2
Step-by-step explanation:
8/7 plus 13/7. You add the numerators (the numbers on top) together. That makes 21. The denominator (the numbers on bottom) stays the same. So it would be 21/7. 7 fits into 21, 3 times.
8/7 más 13/7. Agrega los numeradores (los números en la parte superior) juntos. Eso hace 21. El denominador (los números en la parte inferior) permanece igual. Entonces sería 21/7. 7 encaja en 21, 3 veces.
8/7 plus 13/7. Vous ajoutez les numérateurs (les chiffres du haut) ensemble. Cela fait 21. Le dénominateur (les chiffres du bas) reste le même. Donc, ce serait 21/7. 7 correspond à 21, 3 fois.
8/7 plus 13/7. Quarum numeratores addere (supra de numero) una. 21. Quod facit denominator est (per numeros in fundo) manebit. Ita esset 21/7. Vicium, in VII XXI, III tempora.
Answer:
3x 5
Step-by-step explanation:
Answer:
s =
m
Step-by-step explanation:
Given s varies directly with m then the equation relating them is
s = km ← k is the constant of variation
To find k use the condition s = 9 when m = 30 , thus
9 = 30k ( divide both sides by 30 )
k =
=
s =
m ← equation of variation