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Q1)Hence, the 10th term of A.P is 33
Q2)2(d−c)
Q3)0(solution in photo)
Q4)2b=a+c
Q5)n(n+1)/root 2
Q6)35
Q7)17
Q8)The given terms are 2k + 1, 3k + 3 and 5k − 1. Hence, the value of k for which the given terms are in an AP is 6.
Q9)incomplete
Step-by-step explanation:
Q2)Let x be the common difference of the A.P. a,b,c,d,e,f.
As e is the 5th term
∴e=a+(5−1)x(∵a
n
=a+(n−1)d), where a_n is the nth term
⇒e=a+4x ...(1)
and c=a+2x ...(2)
∴ Using equation (1) and (2), we get
e−c=a+4x−a−2x
⇒e−c=2x=2(d−c)
Q6)P=3+5+7+...(n terms)
a=3
d=5-3=2
∴P=
2
n
[2.3+(n−1)2]=n
2
+2n
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