Question

Question:-

The first term of an AP is 6 and the last term is 46. If the sum of all the terms is 401, the number of terms is​

Answer 1

$\bf\purple{QuestioN:-}$

The first term of an AP is 6 and the last term is 46. If the sum of all the terms is 401, the number of terms is​

$\bf\orange{AnsweR:-}$

• Let A = 6

• Then L = 46.

• Sn is given as 401.

• We need to find n here.

As we know that,

$\longrightarrow\bf{S_n=\dfrac{n}{2}\mathtt{(first\:term+last\:term)}$

$\longrightarrow\bf{401=\dfrac{n}{2}(6+46)}$

$\longrightarrow\bf{401=\dfrac{52n}{2}$

$\longrightarrow\bf{802=52n}$

$\longrightarrow\bf{\dfrac{802}{52}=n}$

$\longrightarrow\bf{15.42=n}$

Number of terms can't be decimal number.

That's why number of terms = 15.

Extra Info :-

Other formulas in Arithmetic Progression :-

The nth term of an AP

$\longrightarrow\bf{a_n = a + (n -1) \times d}$

Sum of n terms in AP

$\longrightarrow\bf{S = \dfrac{n}{2} [2a + (n - 1) \times d]}$

Sum of all terms in a finite AP with the last term as ‘l’

$\longrightarrow\bf{\dfrac{n}{2}(a+l)}$

Common difference d,

$\longrightarrow\bf{d = a2 - a1 = a3 - a2 = ....= an - an - 1}$

Happy Learning !! ☺

Answer 2

Answer:

Ara thoda on bhi aa jaya karo yarr xd

Step-by-step explanation:

There are four factors that influence the resistance in a conductor. Thickness (cross sectional area of the wire), length, and temperature. The fourth factor is the conductivity of the material that is used. Some metals (copper, silver) are just more electrically conductive than others (iron, aluminum).