Question

two AP has the same common difference. if the first term of the first progression is 3 and that of the other is 8 then the difference between their 3rd term is​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

For first A.P

S1

n

=(

2

n

)(2n+(n−1)d)

S1

30

=(

2

30

)(2×3+(30−1)d)

S1

30

=15(6+29d)

S1

30

=90+435d

For second AP

S2

n

=(

2

n

)(2n+(n−1)d)

S2

30

=(

2

30

)(2×8+(30−1)d)

S2

30

=15(16+29d)

S2

30

=240+435d

Difference between S1

30

−S2

30

=(90+435d)−(240+435d)=150