Consider the sequence 10, 2..
1 answer:
Answer: see below
<u>Step-by-step explanation:</u>
1) 10, 2, 1.2, 1.12, 1.112, 1.1112
t₁ = 10
t₂ = 10/10 + 1 = 2
t₃ = 2/10 + 1 = 1.2
t₄ = 1.2/10 + 1 = 1.12
t₅ = 1.12/10 + 1 = 1.112
t₆ = 1.112/10 + 1 = 1.1112
2) 10, 2, -2, -4, -5, -5.5, ...
t₁ = 10
t₂ = 10/2 - 3 = 2
t₃ = 2/2 - 3 = -2
t₄ = -2/2 - 3 = -4
t₅ = -4/2 - 3 = -5
t₆ = -5/2 - 3 = -5.5
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<span>5 ,1 ,-3,-7 ? what the dickens is going on?
notice, from 5 to 1, is really -4 units,
from 1 to -3, is -4 units as well, 1 -4 = -3 and so on.
so, to get the next term's value, you simply subtract 4 from the current one, namely -4 is the "common difference".
and we also know the first term is 5, ok... then
</span>
<span>
</span>
notice, from 5 to 1, is really -4 units,
from 1 to -3, is -4 units as well, 1 -4 = -3 and so on.
so, to get the next term's value, you simply subtract 4 from the current one, namely -4 is the "common difference".
and we also know the first term is 5, ok... then
</span>
</span>