I don't understand how this is done ✅ can someone help me plz B only
2 answers:
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Answer:
Option b is correct.
The common ratio for the given geometric sequence is;
Step-by-step explanation:
The given sequence is; -96, 48 , -24, 12 , -6, .....
Since, given sequence is Geometric
Geometric Sequence in which each term is found by multiplying the previous term by a constant(i.e common ratio)
In general we write geometric sequence as;
where a be the first term and r is the common ratio.
On comparing the given sequence with general geometric sequence;
we get
a = -96 ......[1]
ar = 48 ......[2]
ar^2 = -24 .....[3]
and so on....
To find the common ratio i.e, r;
Divide equation [2] by [1];
Simplify:
Similarly,
by dividing the equation [3] by [2] we get;
Simplify:
As, you can see that the value of r is constant i.e, in the given sequence.
Therefore, the common ratio for the given geometric sequence is;
Answer:
Step-by-step explanation:
AB = a
AP = 2PQ = 2QB
AB = AP + PQ + QB
= AP + +
AB = 2AP
AP = -----(1)
And we know QB =
QB= AP/2 = ---------(2)
Now midpoint of AP = ×
=
and midpoint of QB = ×
=
distance between these midpoints = -
=
