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

The variability in marine salinity between habitats dose not impact the fish living there
A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than theorange.By what percentage is the grapefruit heavier than the apple?
What is the approximate distance between Portland, Oregon (45° north, 122° west), and San Francisco, California (37° north, 122° west). Use 3,960 miles for the
what is 7 over 20 as a percentage
The area of a circle is 100(Pi), what's its diameter?
Solve mathematics question: In photo:) Second:)
how many electrons are contained in a co3+ ion
How would I solve this?
what act gave parliament the right to make any laws they wished to regulate the colonies
After World War II, why did the Soviet union take over a number of countries to its west?