find the smallest number of terms of the geometric progression 2,3,9/2, which must be taken so that the sum exceeds 60

7

Step-by-step explanation:

common ratio: 3/2=1.5

Sum of first nth term: S = a₁ * (1-rⁿ) / (1-r)

60 = 2 * (1 - 1.5ⁿ) / (1 - 1.5)

1.5ⁿ = 16

n = 6.8

s>60    n=7

check: S₇ = 2 * (1-1.5⁷) / (1-1.5) = 64.34

           S₆ = 2 * (1-1.5⁶) / (1-1.5) = 41.56

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew