#Arthhimetic sequences

27 messages · Page 1 of 1 (latest)

vocal cradle
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For a question like this, why isn't the drop point (200) considered term 1??? I'm confused

sand atlasBOT
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red sentinel
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or nvm I'll try it

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the drop point 200 cm is not considered the first term because according to the question (if I'm not wrong), the progression should begin from the first bounce, not from the drop point of the ball

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and like that it will keep on decreasing with each successive bounce

vocal cradle
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but isnt the first the number 200

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200 * 0.08 = x

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then

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x * 0.08

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so isnt 200 a part of the progression?

red sentinel
# vocal cradle yeah, that's right

the only logical explaination im getting is that, in this arithmetic progression, an entire bounce of the ball from one point to the other would be considered as a term
but the drop point is not an entire bounce, it's more of a half bounce and so is not included in the progression

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i hope this clears it up a bit

vocal cradle
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bounce

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also, for this one, why are we using the infinite series formula even though it's last term is going to be 0m

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some other person considers t1 as the initial point...

feral pilot
vocal cradle
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because it ends at zero

feral pilot
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If a sequences keep decreasing

vocal cradle
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S(infinity)