raquelll017 raquelll017
  • 23-09-2020
  • Mathematics
contestada

An arithmetic sequence has a common difference of 4 and the 3rd term is 10. What is the 6th term?

Respuesta :

Muscardinus Muscardinus
  • 29-09-2020

Answer:

22

Step-by-step explanation:

Given that,

Common difference, d = 4

3rd term, [tex]a_3=10[/tex]

nth term of an AP is given by : [tex]a_n=a+(n-1)d[/tex], a is first term

For 3rd term,

[tex]10=a+(3-1)4\\\\10=a+8\\\\a=2[/tex]

Now 6th term is given by :

[tex]a_6=2+(6-1)4\\\\a_6=22[/tex]

Hence, the 6th term is 22.

Answer Link

Otras preguntas

The graph represents the balance on Harrison’s car loan in the months since purchasing the car. Which statement describes the slope of the line? The loan balanc
Which famous revolution lead to the Mexican American war?
show the pattern 19.5 18.8 18.1 17.4 ___
Which of the following helped archaeologists and historians document the existence of Sumer? a) bits of pottery b) mounds containing the remains of cities c)
Which of the following are not units of frequency: Hertz. m/s. waves/s
Tara lives 35,000 meters from her grandparents.How many kilometers does tara need
the school band sold T-shirts to raise money for an upcoming trip. The band sold 40p T-shirts on Saturday. On Sunday, it will sell 30 percent of that amount. Wh
what is the vaule of 2.3 x1.24
The Romans fought the Punic Wars against which country? Carthage Persia Judea Macedonia
Water and air are both fluids. Why is it easier to lift a rock in water rather than lifting a rock in air? The buoyant force is greater on the rock in air.