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

Which statement best summarizes the Declaration of Independence? AColonial governments had more authority than the British government. BThe colonies should be a
What is 2/3 to the third power\\
Circle the slope Y=6X+15​
A(n) __________ is a group of countries or states under one ruler or government. association continent empire kingdom
The term for governors was originally set at ______ years.
What is the point-slope of a line that has a slope of 3 and passes through point (1, 4)
A static charge is different from an electric current, in that a static charge _____. is a flow of electrons lasts only for a fraction of a second occurs becaus
Explain the meaning of the following metaphor: Luke is a chicken when it comes to riding roller coasters. help
Describe this room in FULL DETAIL in the french language
With words, describe the translation: (x, y)—(x+2, y-4) o Move 2 to the left and 4 up o Move 6 diagonally o Move 4 left and 2 up o Move 2 to the right and 4 dow