if the sequence x,a1,a2,y and x,b1,b2,y are in A P then a2 -a1/b2-b1 is equal to - Maths - Arithmetic Progressions

Question

if the sequence x,a1,a2,y and
x,b1,b2,y are in A P then a2
-a1/b2-b1 is equal to
the three sides of a right triangle are in A P one of the side
could have lenght
the no of terms of an A P is even the sum of odd terms is 24
and the sum of the even terms is 30 if the last term exceeds the
first term by 10 5 then the no of terms in A P is

Sunanta Meitei · Accepted Answer

Hi! Here is the answer to your question (i) x, a1, a2, y are in A P Let d be the common difference of the A P

(ii) Let a – d, a, a + d be three sides of a right angled triangle where d is common difference of A P

Thus, one of the sides could have length 4 units iii) Let a1, a2, a3, a4… a2n be the A P Then, a1 + a3 +a5 +… a2n–1 = 24 (1) a2 + a4 +a6 +… + a2n = 30 (2)

Thus, number of terms in A P is 4 Best wishes!