madisonmcelvany4380 madisonmcelvany4380
  • 11-04-2021
  • Mathematics
contestada

The first term of an arithmetic sequence is -140 and the 90th term is 483. What is the value of the 55th term?

Respuesta :

topeadeniran2 topeadeniran2
  • 12-04-2021

Answer: 238

Step-by-step explanation:

The formula to calculate the nth term of an arithmetic progression = a + (n-1)d

Based on the question,

a = -140

90th term = a + 89d = 483

We need to get the value of the common difference

a + 89d = 483

-140 + 89d = 483

89d = 483 + 140

89d = 623

d = 623/89

d = 7

Therefore 55term will be:

= a + (n - 1)d

= a + (55 - 1)d

= a + 54d

= -140 + 54(7)

= -140 + 378

= 238

Answer Link

Otras preguntas

Mark cycled 25 miles at a rate of 10 miles per hour. How long dod ot take Marl to cycle 25 miles?
Who is responsible for providing safety data sheets
In a clinical​ study, 4300 healthy subjects aged​ 18-49 were vaccinated with a vaccine against a seasonal illness. Over a period of roughly 28​ weeks, 30 of the
Michelle has visit 30 like houses in Virginia and Maryland 20% of the light houses are in Virginia how many more light houses did she visit in Maryland than in
The name of the compound with the formula ZnBr2 is
Which side of the heart contain oxygenated blood
what is 3 1/8 - 1 1/8 =​
write two subtraction facts related to 7 + 5 =12​
Please help me I need help it’s due in a few hours
As an IT consultant, you should learn as much as you can about the client’s business, including the impact of the Internet on the travel agency business. Resear