Question

Hello math olzzzzzzz

Answer 1

Answer:

Checkmark:

✓ The sequence is geometric

✓ The recursive formula for the sequence is $An = A_{n-1}(-3)$; $A_{1} =-2$

✓ The explicit formula for the sequence is $t_{n} = (-2) (-3)^{n-1}$

Step-by-step explanation:

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by -3 gives the next term.

r = -3

$t_{n} = t_{1} r^{n-1}$

$t_{1}$ = -2

Substitute the values in the equation:

$t_{n} = (-2) (-3)^{n-1}$

This is a explicit formula since the next value depends on the position of n (1, 2, 3 .etc)

The recursive formula would be:

$An = A_{n-1}(-3)$

Checkmark:

✓ The sequence is geometric

✓ The recursive formula for the sequence is $An = A_{n-1}(-3)$; $A_{1} =-2$

✓ The explicit formula for the sequence is $t_{n} = (-2) (-3)^{n-1}$