6. Which of the equations can be used to create the sequence 10,5, 0, -5, ... ? A. a = -10 - 5(n-1) B. a = -5n + 10(n-1) C. a = 10 - 5(n-1) D. a = -10n - 5(n-1)

Question

asked Feb 4, 2023 191k views

1 Answer

Ajay Sharma · Answer 1 · 2023-02-08T11:26:33+0000

a = 10 - 5(n-1) (option C)

Step-by-step explanation:

we need to check theoptions to determine the one that gives the sequence

sequence 10,5, 0, -5, ... = T1, T2, T3, ........

A) a = -10 - 5(n-1)

when n = 1

$where10,5,0,-5,\ldots=T_1,T_2,T_3,...$

a = -10 - 5(1-1) = -10-5(0)

a = -10 -0 = -10

This option is wrong because our T1 = 10

B) a = -5n + 10(n-1)

when n = 1

a = -5(1) + 10(1-1)

a = -5+10(0) = -5 + 0 = -5

This option is wrong because our T1 = 10

C) a = 10 - 5(n-1)

when n = 1

a = 10 - 5(1-1) = 10-5(0)

a = 10 - 0 = 10

we ned to confirm:

when n = 2

a = 10-5(2-1) = 10-5(1) = 10-5 = 5

This option is correct. T1 = 10, T2 = 5

D) a = -10n - 5(n-1)

when n = 1

a = -10(1) - 5(1-1)

a = -10 -0 = -10

This option is wrong because our T1 = 10

the equations can be used to create the sequence is a = 10 - 5(n-1) (option C)

b)