Question

v. Check whether 119, 102, 85, 69, 51, 34, 17 is in A.P. or not.​ explain in detail

Answer 1

Answer:

a1=119,a2=102,a3=85

d=a2-a1=102-119= -7

d= a3-a2=85 - 102 = -17

a2 - a1 is not equal to a3-a2

so,therefore these numbers does not form an ap

Answer 2

ap is a series in which we add or subtract the same number to the previous number. for example 2 (+3) 5 (+3) 8 (+3) 11. here, the initial number is 2 and we are constantly adding 3 to it. and in your question the initial value is 119 and we are supposed to subtract 17 from it to get to the next value so 119-17=102; 102-17=85; so far so good but the next digit should be 85-17=68 and in the series it is given as 69 so the given series is not in AP.