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algol13
3 years ago
9

In an arithmetic​ sequence, the nth term an is given by the formula An=a1+(n−1)d​, where a1is the first term and d is the common

difference.​ Similarly, in a geometric​ sequence, the nth term is given by an=a1•rn−1.
Use these formulas to determine the indicated term in the given sequence.

The 19th term of 19​,42​,65​,88​,...
Mathematics
1 answer:
Olin [163]3 years ago
8 0

Answer: 433

Step-by-step explanation:

The given sequence : 19​,42​,65​,88​,...

We can see that the terms ha common difference as :-

42-19=23\\65-42=23\\88-65=23

Thus, its an Arithmetic progression with common difference (d)=23

The formula to find the nth term is :-

a_n=a_1+(n-1)d

Now, the 19th term of the given sequence :-

a_{19}=19+(19-1)(23)\\\\=19+(18)(23)\\\\=19+414=433

Hence, the 19th term of 19​,42​,65​,88​,... is 433.

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3 years ago
Adult tickets to the aquarium costs $22 each while child tickets cost 15 each. If a large group buys 32 tickets and paid 543 how
Masteriza [31]

Answer:

23 child tickets

Step-by-step explanation:

9 adult tickets

23 child tickets

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345/15=23

9+23=32 tickets total

4 0
3 years ago
Tyler works in retail where she earns $10.50 per hour. She also earns $15 for every new credit account she gets customers to ope
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3 years ago
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6 0
2 years ago
Se requiere dos personas para construir una barda de 20 m de largo y 1.5 m de alto en dos días ¿cuántas personas se necesitan pa
Wewaii [24]

Answer:

Definamos R como la "velocidad" a la que una persona puede construir la barda dada.

Supongamos que la persona necesita un tiempo T para construir la barda, entonces tenemos la relación:

R*T = 1 barda.

Si dos personas trabajan juntas la velocidad de trabajo va a ser (R + R), y sabemos que ellos pueden completar el trabajo en 2 días, entonces:

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Esto significa que una persona puede completar un cuarto de la barda en un día de trabajo.

Ahora queremos saber cuantas personas se necesitan para construir una barda en solo medio día, entonces debemos resolver:

(N*R)*0.5 días = 1 barda

Donde N es el número de personas que queremos obtener.

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N = 8

Se necesitan 8 personas para construir una barda en medio día.

6 0
2 years ago
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