Answer:
50,00,70,000
Step-by-step explanation:
The given sequence is Arithmetic Progression.
Arithmetic Progression is a sequence in which every two neighbor digits have equal distances.
Here first we will find the number of terms
For finding the nth term, we use formula
aₙ = a + (n - 1) d
where, aₙ = value of nth term
a = First term
n = number of term
d = difference
Now, In given sequence: 12, 22, 32, 42, ⋯ , 100002
a = 12, d = 10, n = ? and aₙ= 100002
∴ 100002 = 12 + (n - 1) × (10)
⇒ 99990 = 10(n - 1)
⇒ n = 10000
Now using the formula of Sum of Arithmetic Sequence,
Sₙ = n÷2[2a + (n - 1)d]
⇒ Sₙ = (10000÷2)[2 × 12 + 9999 × 10]
⇒ Sₙ = 5000 [ 24 + 99990]
⇒ Sₙ = 5000 × 100014 = 50,00,70,000
