Answer:
(a)
(b) nth term:
Step-by-step explanation:
Solving (a)
Given
The first 3 terms.
When n = 1
When n = 2
When n = 3
So, the first three terms are:
Solving (b)
Given
Required
The nth term
The sequence is arithmetic.
So, first calculate the common difference (d)
The nth term is then calculated as:
Where
So:
and
Collect like terms
The measure of ∠STU = ∠VWX = 90°
Hence, ∠STU≅∠VWX.
What is Perpendicular line?
Two lines that meet or intersect each other at right angles is called a Perpendicular line.
Given that;
TU ⊥ ST
WX ⊥ VW
Now,
When TU ⊥ ST
Then by the image,
∠STU = 90°
When, WX ⟂ VW.
Then by image,
∠VWX = 90°
Hence, The measure of ∠STU = ∠VWX = 90° (right angle)
So, ∠STU ≅ ∠VWX.
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