Example 2 Determine the sum of the first 100 terms for the series 2+5+ 8 + ...
2 answers:
Answer:
S₁₀₀ = 15050
Step-by-step explanation:
There is a common difference between consecutive terms
5 - 2 = 8 - 5 = 3
This indicates the sequence is arithmetic with sum to n terms
=
[ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 3 , then
S₁₀₀ = [ (2 × 2) + (99 × 3) ]
= 50 (4 + 297)
= 50 × 301
= 15050
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Answer:
Step-by-step explanation:
so from the silly drawing, you can see that the triangle is 4 feet off the ground, and that we want to find the Opp side from our angle of 15 °
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
use TOA to find the Opp side of the triangle .. which is labeled X
Tan(15) = X / 15
15* Tan(15) = X
4.019 = X
so the bird is up 4 feet in the tree.. not very high up, plus the 4 feet that the apple is already off the ground, soo
the tree... to where the bird is, at least, is 8.019 feet..
did this make sense? :/
hope the drawing helped :P
we are given
BE=x
ED=x+10
AE=x+1
EC=x+3
we can see that two chords AC and BD are intersecting inside the circle
so, we can use property
now, we can plug values
now, we can multiply them
now, we can move all terms on left side
...............Answer