Question

1. Write the nth term of the following sequence in terms of the first term of the sequence. 10, 20, 40, . . . 2.Write the nth term of the following sequence in terms of the first term of the sequence. 2, -4, 8, -16, . . . 3. Write the nth term of the following sequence in terms of the first term of the sequence. a, a + 4, a + 8, . .

Answer 1

Hello,

1)
$a_{0}=5$
$a_{1}=2*5$
$a_{2}=2^2*5$
$a_{3}=2^3*5$
...
$a_{n}=2^{n-}*5$

2)

$u_{1}=a$
$u_{2}=a+4$
$u_{3}=a+2*4$
$u_{4}=a+3*4$
...
$u_{n}=a+(n-1)*4$