The deposits ginny makes at her bank each month form an arithmetic sequence. the deposit for month 3 is $150, and the deposit for month 5 is $180. answer the questions below and show all work.

d=$15,

Explicit formula:  

At 27 month Ginni make a deposit at least $500.

Step-by-step explanation:

Given that the deposits Ginny makes at her bank each month form an arithmetic sequence. The deposit for month 3 is $150, and the deposit for month 5 is $180.

we have to find the common difference i.e d

-- , -- , $150, x, $180 , -------

Let $x be the 4th deposit.

∴ x-150=180-x ⇒ 2x=330 ⇒ x=165

Common difference,d=165-150=$15

Let us find the first tem i.e the value of a

⇒

Explicit formula for arithmetic sequence is

⇒

Now, we have to find the amount of Ginni in 12th deposit i.e n=12

⇒  

Now, we have to find at what month Ginni make a deposit at least $500.

⇒

⇒

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hence, at 27 month Ginni make a deposit at least $500.

answer: x

step-by-step explanation:

what? ?

what type of question is thiss

step-by-step explanation: