Question

a=5,d=10,a*n=50,find n​

Answer 1

Hi there! I think you meant d=3 because d=10 is not possible for these values.

$\mathcal{\green{\underline{\blue{GIVEN:}}}}$

• The first term in the sequence (a) = 5.
• The nth term in the sequence ($\sf a_n$) = 50.
• The common difference between terms (d) = 3.

$\mathcal{\green{\underline{\blue{TO \:\: FIND:}}}}$

• We need to find n.

$\mathcal{\green{\underline{\blue{SOLUTION:}}}}$

We can use this formula to find n:

$\boxed{\bold{\large{a_n=a+(n-1)d}}}$

Substitute the values.

$\to \bf 50=5+(n-1)3$

$\to \bf (n-1)3=50-5$

$\to \bf n-1=15$

$\to \bf \boxed{\bold{n=16}}$

$\huge\star\:\:{\orange{\underline{\pink{\mathbf{HOPE \:\: THIS \:\: HELPS \:\: :D}}}}}$