thoughtfultortoise12
thoughtfultortoise12 thoughtfultortoise12
  • 11-06-2020
  • Mathematics
contestada

Find t12 term in an arithmetic progression having t3 = 10 and t10 = −4 .

Respuesta :

adioabiola
adioabiola adioabiola
  • 16-06-2020

Answer:

t12= -8

Step-by-step explanation:

t3

a+2d=10 (1)

t10

a+9d=-4. (2)

From (1)

a=10-2d. (3)

Sub into (3) into equ (2)

a+9d=-4

10-2d+9d=-4

10+7d=-4

7d=-4-10

7d=-14

Divide both sides by 7

d=-14/7

d= -2

10=a+2d

10=a+2(-2)

10=a-4

10+4=a

14=a

a=14

t12=a+11d

= 14+11(-2)

=14-22

= -8

t12= -8

Answer Link

Otras preguntas

What kind of mobile app is being used when the owner's phone displays a message on the screen and emits an extremely loud tone?
A company will pay workers at a level that maximizes the company costs taxes profits marginal revenue
​alzheimer's is associated with brain damage as a result of
A species is a group of similar organisms that a. can mate with each other and produce fertile offspring. b. can live together on an island. c. can migrate to a
Why was americas victory at yorktown among rhe most significant battles of the american revolutiin
Which is the correct classification of 18 squared 1.irrational number, non-repeating decimal 2.irrational number, terminating decimal 3.rational number, termin
EXPERTS/ACE PLEASE HELP!!
Help me please thankyou
How do you change slope intercept into standard form?
A ball is thrown horizontally from a 19 m -high building with a speed of 2.0 m/s . How far from the base of the building does the ball hit the ground?