Answer:
Please see attached picture for full solution.
take it and leave it somewhere u will forget about it and move on with ur life lol
C) 12pi
Circumference is pi x diameter or 2 x pi x radius
So, here in part a), we are given n terms (no specific no. of terms given), so no. of terms = n , also, the common difference is defined as the difference between the next term to a specific term and the term, i.e
, where d is the common difference, so here d = 49 - 45 = 4
Also, here the last term is 49 let say it the nth term, as no number of terms are given, so using the Arithmetic Progression formula, we can write as ;




Now, as we assumed there are n terms, so using the sum formula, we can have ;




Now, for part b) we are given a geometric progression with first term = a = 1, common ratio = r = (3/1) = 3, and no. of terms = n = 6, so now putting all values in the sum formula we will have;



108 miles 3 hours = 36 mph upstream
108 miles 2 hours = 54 mph downstream
bv = boat velocity in still water
cv = current velocity
bv -cv = 36
bv +cv = 54 Adding both equations
2*bv = 90
boat velocity in still water = 45 mph
since bv + cv = 54
then we know the current velocity = 9 mph