Question

1. The first term of the arithmetic progression is unity and
the common difference is 4. Which of the following will
be a term of this Arithmetic Progression series?
a. 4551
b. 10091
c. 7881
d. 13531​

Answer 1

Step-by-step explanation:

a = 1

d = 4

Tn = a +(n-1) d

4551 = 1 +4n -4

4554 = 4n

n = 1138.5

so it's not the term

similarly you can check rest of them

Answer 2

Given,  a = 1, d = 4. Option 1 : T = 4551 a + (n-1)d = 4551 1 + (n-1)4 = 4551 n-1=4550/4 = not divisible by  4 Option 2 : T = 10091 n-1 = 10090/4 = not divisible by 4 Option 3 : T=7881 n-1 = 7880/4 = 1970 n = 1971 which is an integer.  Therefore Option 3 is correct.

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