snp5kc4xxt snp5kc4xxt
  • 03-06-2021
  • Mathematics
contestada

What is the first term for an arithmetic sequence with a12 = 56 and a21=101?

Respuesta :

goyangi
goyangi goyangi
  • 03-06-2021
The first term is -43.

Explanation:

an = a + (n - 1)d

a12 = a + 11d = 56, first equation
a21 = a + 20d = 101, second equation

Subtract the second equation from the first equation, cancelling +a and -a
11d - 20d = 56 - 101
-9d = -45
d = 5

Subtitute d into the first equation
a + 99 = 56
a = -43

a refers to the first term, hence the first term is -43.
Answer Link

Otras preguntas

There were 13 original states. Name three.
A machine with a mechanical advantage of 10 is used to produce an output force of 250 newtons. What input force is applied to this machine
Which two earth layers are separated by the moho boundary?
When must all men register for the Selective Service?
Name one state that borders Canada
round 75.4614 to the nearest thousandth
What did the Declaration of Independence do?
The concentration of a solution can be expressed in (I ) milliliters per minute (2) parts per million (3) grams per Kelvin (4) joules per gram
HOW WOULD YOU BE ABLE TO IDENTIFY streptococci THROUGH A MICROSCOPE
A triangle has two sides of length 6 and 9. What could the length of the third side be? Check all that apply, A. 10 B. 7 C.4 D.2 E.15 F.12