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

If b is a recessive gene list the offspring that will exhibit a short recessive trait
Two online spice retailers sell paprika by the pound using the following pricing chart. Paprika (lb) iSpice Spice Magic 1 $15.75 $26.25 2. $27.50 $36.50 3 $39.2
I. Choose the word that has the underlined part pronounced differently from the rest. 1. A. boxes B. compasses C. writes D. caches 2. A. clubs B. posters C. tab
Calculate the number of moles of SO2 required to produce 17 g of CO in the following chemical equation: 5 C + 2 SO2 → CS2 + 4 CO
What are some related events from the Berlin Crisis?
How do u make this 4/4
What is the value of this expression? 2/3 + (-5/7)
write a note of any one of the important trading centres​
The mean age of 12 women in an office is 35 years old. The mean age of 8 men in an office is 31 years old. What is the mean age (nearest year) of all the people
What are some related events from the Berlin Crisis?