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Mrac [35]
3 years ago
13

Murtha has decided to start a pebble collection. She collects one pebble the first day and two pebbles on the second day. On eac

h subsequent day she collects one more pebble than the previous day. How many pebbles will she have collected at the end of the twelfth day
Mathematics
1 answer:
Musya8 [376]3 years ago
4 0

Answer:

78

Step-by-step explanation:

Given that:

First day (a) = 1

1 more pebble every subsequent day than the previous day

Tn = a + (n - 1)d

d = common difference ; difference between pebbles in two successive days = 1

n = nth day

At the end of the 12th day;

Tn = a + (n - 1)d

T(12) = 1 + (12 - 1) 1

T(12) = 1 + 11

T(12) = 12

Appling the sun if arithmetic progression formula : Sum of AP:

n/2 (a + Tn)

n = number of terms

12/2 (1 + 12)

6(13)

= 78

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