Question

What is the 3rd term of the sequence?

Answer 1

\[a_{1}=40 \] and \[a _{n}=0.5(a_{n}-1)\]

Answer 2

\[a_{3}=\]

Answer 3

\[\rm a_1 = 40\]

and

\[a_n = 0.5a_{n-1}\]

right ?

Answer 4

which is same as :

\[a_n = \frac{1}{2}a_{n-1}\]

Answer 5

plugin n=2 and find the second term first

Answer 6

which is same as :

\[a_2 = \frac{1}{2}a_{2-1} = \frac{1}{2} a_1 = \frac{1}{2}(40) = 20\]

Answer 7

use this to find \(\rm a_3\)

Answer 8

400?

Answer 9

It seems you're taking half of present term to get the next term right ?

Answer 10

\[a_3 = \frac{1}{2}a_{3-1} = \frac{1}{2} a_2 = ?\]

Answer 11

40?

Answer 12

@ganeshie8