In first year of tree planting campaign, 6000 plants were planted and each year there is an increase of 2200 plants. If the sequence continues, how many plants will be planted in 7th year of the campaign?
In first year of tree planting campaign, 6000 plants were planted and each year there is an increase of 2200 plants. If the sequence continues, how many plants will be planted in 7th year of the campaign?
Explanation
The sequence of plants planted each year is an arithmetic sequence with:
First term (a) = 6000
Common difference (d) = 2200
To find the number of plants in the 7th year, we need to find the 7th term:
a₇ = a + (n - 1)d
= 6000 + (7 - 1) × 2200
= 6000 + 6 × 2200
= 6000 + 13200
= 19200