
You can see it's a geometric sequence because the ratio is constant (

).
The nth term of a geometric sequence:


It has to be the sum for term 4 through term 15, so n=4 and the number above the sigma is 15.
Your answer:
Answer:
The correct option is;
ΔCED ~ ΔCAB
Step-by-step explanation:
Given that the translation maps angle ∠D to angle ∠B, we have;
Angle ∠D is congruent to ∠B (Given)
Segment ED is parallel to segment AB (lines having similar angles to a common transversal)
Therefore, ∠A is congruent to ∠E, (Angle on the same side of a transversal to two parallel lines)
∠C is congruent to ∠C reflexive property
Therefore, we have;
∠C ≅ ∠C
∠E ≅ ∠A
∠D ≅ ∠B
Which gives ΔCED is similar to ΔCAB (not ΔCBA)
Without that value, we can't solve your problem, unless you are looking for an algebraic equation.
Volume = 1/3a^2h
v= 1/3 x 8.2^2 x 5.3
v=118.79066666667 in^3