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

can someone answer this?
A conical circus tent has a 20 ft central pole that supports it. the slant height of the tent is 26 ft long. explain how to find the angle the tent pole makes w
Find the median of the data set. round your answer to the nearest tenth if necessary. 13,13,15,15,15,15,17,17,19,20
Was the efficiency of selection different for selection against the recessive genotype versus selection against the recessive allele? if so, why was this?
Aerobic respiration creates lactic acid as a by prodcut but prodcues far more atp than respiration. a. true b. false
Choose the two words that best go with setting
Can someone please help me with this?
Plasma proteins decrease in a person with liver failure. what effect does this have on capillary filtration/absorption?
Each gallon of porch and deck paint covers 200 square feet. how many gallons are needed to cover 1241 square feet?
Quick algebra 1 question for 10 points! Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!