Math, asked by dhyey229, 11 months ago

Arithmetic Progressions

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Answered by pranjaygupta
2

12. a=3,d=2

Step-by-step explanation:

7. 7th term of an AP is zero

that means a+6d=0

now to prove 25th term is twice the 16th term

T25= a+24d

= a+6d+18d

=18d.....(as a+6d=0).....eq1

T16 = a+15d

= a+6d+9d

=9d......eq2

from eq1 and 2

T25=2T16

hence proved

10. done already(hope u liked the solution)

12. T4=3a...1

T7-2T3=1....2

from eq1

a+3d=3a

3d=2a.....3

from eq2

(a+6d)-2(a+2d)=1

a+6d-2a-4d=1

-a+2d=1

substituting eq3

-3d/2+2d=1

1/2d=1

d=2

substituting d=2 in eq3

a=3

hope it helps u

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