The sum of sixth term of a.p is 72 and the second term is seven times fifth term find the first term,common difference and the sum of tenth term

Answer 1

garbled English, but I think you want

6/2 (2a+5d) = 72
a+d = 7(a+64d)

solve that for a and d, and then evaluate

10/2 (2a+9d)

Answer 2

S6=72
6a+15d=72 call as eq 1
T2=7(a+4d)
a+d=7a+28d
6a+27d=0 call as eq 2

Consider the eq 1&2 simultaneously

6a+15d=72 eq 1
6a+27d=0 eq 2

Subtract 1&2

We get
-12d=72

d=-6

evaluate d=-6 in eq 2

We get a=27

To find s10

=10/2(2*27+(10-1)-4)
=5(54-36)
=5(18)
=90

Answer 3

Velocity 20m/s find the components of the planes velocity if take off angles is
a) 45° .
B)60°
C) 70°