hawkswoopergami hawkswoopergami
  • 01-01-2018
  • Mathematics
contestada

How many terms are in the arithmetic sequence –27, –16, –5, …, 292?

Hint: a_n=a_1+d(n-1) , where a_1 is the first term and d is the common difference

Respuesta :

tynollette tynollette
  • 01-01-2018
a(n)=a(1)+d(n-1)
in this case, a(n)=292, a(1)=-27, d=-16-(-27)=11
292=-27+11(n-1)
11(n-1)=319
n-1=29
n=30
there are 30 terms. 
Answer Link

Otras preguntas

Read the excerpt from Lizzie Bright and the Buckminster Boy. Together they climbed up to the center of the island, where the trees were thick and high. She sho
I need to know what groups in science only contain in metals
Find the volume of each rectangular prism
Sheri's freezer is 2 feet wide, 6 feet long, and 2 feet deep. What's the volume of her freezer?     A. 4 cubic feetB. 24 cubic feetC. 12 cubic feetD. 10 cubic f
what is the area of a rectangle with a length of 1/2 yard and a width of 11/6
Third Federal Bank is in a national search for a new Director of Human Resources. The recruiting budget is $30,000. So far, the bank has spent $8,600 on adverti
How use of common currency (money) and trade routes helped Romans succeed in trade.
Which expression shows the first step in simplifying 2x – 3(x + 2y) – 5(y – 7x)? 2x – 8(x + 2y) + (y – 7x) 2x – 3 – 5(3y – 6x) 2x – 3x – 6y – 5y + 35x 2x + 3x +
How does breaking down cardiovascular system help you understand its meaning?
how to work out 120 divided by 10