give me important case study based questions class x
of maths
also wish me to get good marks in today's exam
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Q. The first and the last terms of an AP are 10 and 361 respectively. If its common difference is 9 then find the number of terms and their total sum?
Sol.
Given, first term, a = 10
Last term, al = 361
And, common difference, d = 9
al = a + (n −1)d
361 = 10 + (n − 1)9
361 = 10 + 9n − 9
361 = 9n + 1
9n = 360
n = 40
Therefore, total number of terms in AP = 40
Now, sum of total number of terms of an AP is given as:
Sn = n/2 [2a + (n − 1)d]
S40 = 40/2 [2 x 10 + (40 − 1)9]
= 20[20 + 39 x 9]
=20[20 + 351]
=20 x 371 = 7420
Thus, sum of all 40 terms of AP = 7420
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it's trigonometry
can I have introduction plz
have a nice day
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