Question

which term of the progression 10,14,18,,,,,,,,,, is 102​

Answer 1

Given progression is an AP

with

first term, a = 10

common difference, d = 14 - 10 = 4

let,

nth term a[n] = 102

then,

a[n] = a + (n-1) d

102 = 10 + (n-1) 4

102 = 10 + 4n -4

102 = 6 + 4n

4n = 102 - 6

4n = 96

n = 96/4

n = 24

therefore,

24th term of the progression is 102.

Answer 2

✿ Question :

• Which térm of prôgrëssion 10,14,18, ,,,,, is 102 ?

✿ Solutioń :

༗ Here :-

• a = 10
• d = 4
• a _n = 102
• n = ?

Formulα to be used :-

a_n = a + ( n - 1 ) d

So, let's sôlve :

ㅤㅤㅤㅤㅤ➨ 102 = 10 + ( n - 1) 4

ㅤㅤㅤㅤㅤ➨ 102 - 10 = (n - 1) 4

ㅤㅤㅤㅤㅤㅤ➨ 92 =( n - 1) 4

ㅤㅤㅤㅤㅤㅤ➨ 92/4= n -1

ㅤㅤㅤㅤㅤㅤㅤ➨ 23 = n -1

ㅤㅤㅤㅤㅤㅤㅤ➨ 23 + 1 = n

ㅤㅤㅤㅤㅤㅤㅤ➨ 24 = n

➣ Therefore, 102 will be 24th term of the progression.