Question

Part 2. Please show work. Please assist me with these math problems.​

Answer 1

121800, 591.09375, 1/4.

Explanation:

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Answer 2

4. 121800

5. 591.09375

6. 0.25

Explanation:

4. It's an AP with:

first term(a): 12

common difference(d): 24-18 = 6

Sn = (n/2)(2a + (n-1)d)

S200 = (200/2)[2(12) + (200-1)(6)]

= 121800

5. It's an GP with:

first term(a): 12

common ratio(r): 18/12 = 1.5

Sn= a(r^n -1)/(r-1)

S8 = 12(1.5⁸-1)/(1.5-1)

= 18925/32 = 591.09375

6. It's an infinite GP with:

first term(a) = 1/12

common ratio: 1/18 ÷ 1/12 = ⅔

Sinfinity: a/(1-r)

= (1/12) ÷ [1-⅔]

= 1/12 ÷ 1/3

= 1/12 × 3

= 1/4 = 0.25