Question

1. The 11th term of the A.P. -5,-5/2,0,5/2,...is:-
(a) -20
(b) 20
(c)-30
(4) 30​

Answer 1

Answer:

Your answer is 20

Step-by-step explanation:

Given:a1=-5

d=a2-a1

d=-5/2+5

=5/2

A11 = a1+10d

A11=-5+10*d

A11=-5+10*5/2

A11=20

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Answer 2

GiveN :-

• First term = - 5

• Common difference = - 5/2 - ( - 5 ) = 5/2

• Number of terms = 11

To FinD :-

• 11th term of the given A.P

SolutioN :-

By using A.P formula :

$\large:\implies \boxed{\bf \blue{ A_n = a + ( n-1)d}} \\ \\:\implies \sf A_{11} = - 5 + (11 - 1) \times \frac{5}{2} \\ \\:\implies \sf A_{11} = - 5 + 10 \times \frac{5}{2} \\ \\:\implies \sf A_{11} = - 5 + 5 \times 5 \\ \\:\implies \sf A_{11} = - 5 + 25 \\ \\ :\implies \boxed{ \sf A_{11} = 20}$

$\large \therefore \underline {\bf \green{11th \: term \: of \: AP \: is \: 20}}$