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we are given
airthematic sequence
we can use nth term formula
n is number of terms
an is nth term
d is common difference
a1 is first term
We are given
a7=40
we can use it
a18 = 106
we can subtract both equations
now, we can find a1
we can plug d=6
12th term:
now, we can plug values
so, 12th term is 70...........Answer
Answer:
The length of the side PC is 34 cm.
Step-by-step explanation:
We are given that BP is the perpendicular bisector of AC. QC is the perpendicular bisector of BD. AB = BC = CD.
Suppose BP = 16 cm and AD = 90 cm.
As, it is given that AD = 90 cm and the three sides AB = BC = CD.
From the figure it is clear that AD = AB + BC + CD
So, AB = = 30 cm
BC = = 30 cm
CD = = 30 cm
Since the triangle, BPC is a right-angled triangle as PBC = 90°, so we can use Pythagoras theorem in this triangle to find the length of the side PC.
Now, the Pythagoras theorem states that;
= 1156
PC = 34 cm
Hence, the length of the side PC is 34 cm.