Question

A.P
class 10th question.

Answer 1

Heya mate, Here is ur answer

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Answer 2

Answer- The above question is from the chapter 'Arithmetic Progressions'.

Given: First term (a)= 5

Last term (l)= 45

Sum of all terms (Sₙ)= 400

To find: Number of terms(n)= ? and Common difference(d)= ?

Solution: We know that Sₙ= n/2 (a + l)

400= n/2 (5+45)

800= n (50)

n= 800÷50

n= 16

We also know that l= a+(n-1)d.

Substituting all values,

45= 5+(16-1)d

40= 15d

d= 40÷15= 8/3

∴Number of terms(n)= 16

Common difference(d)= 8/3