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Q1:
we can able to see that the numbers 1,4,9,16 are the square of 1²,2²,3²,4²
Therefore the next three terms are 5²,6²,7²
=>25,36,49
Q2:
A.P=3,7,11,15,..........
A)
a=3
Common difference (d) is (tn+1)-(tn)
=>d=7-3=11-7=4
therefore Common difference (d)=4
B)
tn=a+(n-1)d
t20=3+(20-1)4
t20=3+(19)4
t20=3+76
t20=79
C)
tn=3+(n-1)4
D)
tn=261
=>261=3+(n-1)4
=>261=3+4n-4
=>261=4n-1
transposing -1 to other side
=>261+1=4n
=>n=262/4
=>n=65.5
n does not belongs to Natural number
therefore 261 is not a term in this sequence
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