Question

for the arithmetic sequence determine the t1 and d : _,4,_,_,10 ,the answers 2,4,6,8,10 but how do you get t1 given only t2=4,t5=10?

Answer 1

we know it arithmatic right?

Answer 2

so it has to follow a formula for arithmatic seqs

Answer 3

count 4 as your starter and use sequence it as this to find d

an = a1 + d(n-1)

a4 = 4 + d(4-1)
10 = 4 + d(3)
6/3 = d = 2

an = a1 + 2(n-1)

Answer 4

the difference is 2 apart; 4 - 2 = 2; 4+2 = 6, 10-2 = 8

Answer 5

THANKS SO MUCH =D

Answer 6

i hope the process did you good :)

Answer 7

theres prolly a more cogent way to go about it tho ...

Answer 8

simple is refreshing :)

Answer 9

:) good

Answer 10

\[t _{n}=d \times n +c\]
for t(2): d(2)+c=4
for t(5): d(5)+c=10
subtracting the first from the second gives 3d=6; d=2; c=0
now we can find any t(n)=2n