Question

d)
Check whether 301 is a term of the list of the number 5,
11, 17, 23..........​

Answer 1

first term, a = 5

common difference, d = 11 – 5 = 6

An = 301

a + ( n – 1 ) d = 301

5 + ( n – 1 ) 6 = 301

6n – 6 = 301 – 5

6n = 296 + 6

6n = 302

n = 302 / 6

n = 151 / 3

since n is not a natural number, it is coming out to be a fraction hence it is not in the list of numbers

Answer 2

Answer:

no 301 is present in the series

Step-by-step explanation:

the given sequence is in AP

a=5,d=11-5=6,l=301,n=?

l=a+(n-1)d

301=5+(n-1)6

296=6(n-1)

so,n-1=49.33333 or n=50.333333

but n belongs to NATURAL NUMBERS

so,301 is not in the series

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