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

Market research shows that 30% of consumers are likely to purchase an electronic tablet for younger children under age 10. However, only 2% of consumers are lik
Supreme Court cases typically have to deal with
What is the role of the nervous system in digestion?
what is the simple interest of $16000 interested for 5 years at 4% p.a?​
Discuss the ways to divide up the nervous system noting what helps regulate what functions
Which sentence describes a river? A. It contains water that is always in motion. B. Many unusual organisms live there due to its unique water chemistry. C. It p
What did Lincoln mean when he said “A house divided against itself cannot stand”?
Explain the purpose of law in society.
???? please help lol
give me five ways drugs can be taken​