`nth` term of an AP is `a_n`. If `a_1 + a_2 + a_3 = 102` and `a_1 =15`, then find `a_10`

Three distinct numbers a_1 , a_2, a_3 are in increasing G.P. a_1^2 + a_2^2 + a_3^2 = 364 and a_1 + a_2 + a_3 = 26 then the value of a_10 if a_n is the n^(th) term of the given G.P. is:

Three distinct numbers a_1 , a_2, a_3 are in increasing G.P. a_1^2 + a_2^2 + a_3^2 = 364 and a_1 + a_2 + a_3 = 26 then the value of a_10 if a_n is the n^(th) term of the given G.P. is: A. 2.3^9 B. 3^9 C. 2.3^(10) D. 3^(12)

If a_1, a_2, a_3 ,........ are in A.P. such that a_1 + a_5 + a_10 + a_15 + a_20 + a_24 = 225 , then a_1 + a_2+ a_3 + ......+ a_23 +a_24 is equal to

Let a_1, a_2 , a_3 and a_4 be in AP. If a_1 + a_4 =10 and a_2. a_3 =24 , then the least term of the AP, is

For an increasing A.P. a_1, a_2,..... a_n ifa_1+a_3+a_5=-12 and a_1a_3a_5=80 , then which of the following is/are true? a. a_1=-10 b. a_2=-1 c. a_3=-4 d. a_5=+2

For an increasing A.P. a_1, a_2, a_n ifa_1+a_3+a_5=-12 and a_1a_3a_5=80 , then which of the following is/are true? a. a_1=-10 b. a_2=-1 c. a_3=-4 d. a_5=+2

Let a_1, a_2, a_3, ....a_n,......... be in A.P. If a_3 + a_7 + a_11 + a_15 = 72, then the sum of itsfirst 17 terms is equal to :

The sixth term of an A.P., a_1,a_2,a_3,.............,a_n is 2 . If the quantity a_1a_4a_5 , is minimum then then the common difference of the A.P.

If a_1, a_2, a_3,.....a_n are in H.P. and a_1 a_2+a_2 a_3+a_3 a_4+.......a_(n-1) a_n=ka_1 a_n , then k is equal to