Question

A man ate 100apples in5 days. each day he ate 6more apples than those he ate on the previous day. how many apples did he ate the first day
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Answer 1

Answer:

Step-by-step explanation:

Heya mate, Here is ur answer

The question can be solved by using Arithmetic Progression.

Total Grapes (Sn ) = 100

Term in AP(n) (no of days) = 5

Common difference = 6

an = a+(n-1) d

an = a+ (5-1) 6

an = a + 4×6

an = a + 24

an -24 = a ----(1)

Sn = n/2 (a+an)

100 = 5/2 ( an-24 +an)

100 ×2/5 = 2an -24

40 = 2an -24

40+24=2an

64 = 2 an

64/2 = an

32 = an

a = an-24

a= 32-24

a = 8

So., the man ate 8 apples on first day.

Let us now check our results

Apples - 8 , 8+6 , 8+6 +6 , 8+6+6+6 , 8+6+6+6+6

=8,14,20,26,32

= 100