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

Solve the equation using PEMDAS. 49÷7·3+(5-5)=
Area=16w^2-36 length=4w+6 what is the width of the rectangle?
Where is the largest reservoir of nitrogen that is unusable by most organisms? A) Atmosphere B) Soil C) Oceans D) Rocks
What made living along the nile easy?
) Multiply. Write your answer in scientific notation. 5• (2 × 10^2)
Interest and Annuity 7. A sum of money doubles itself in 6 years at certain rate of interest. In how many years would it triple if the rate of interest is incre
if Mark strikes out 3 players in 30 minutes how long will it take for him to strike out 12 players
HELP PLS... nidia keeps ants and grasshoppers as pets. she has 186 insects in aland twice as many grasshoppers as ants. write an equation to represent the twice
8 7/8 + (7 5/6 − 2 1/3)
For each equation solve one of them by using powers of the same number.to the nearest hundredth, solve the other by using logarithms. 25^x=2