Find the value of \( \mathrm{S}_{1}+\mathrm{S}_{2}+\mathrm{S}_{3}+\ldots .+\mathrm{S}_{\mathrm{p... VIDEO
Find the value of \( \mathrm{S}_{1}+\mathrm{S}_{2}+\mathrm{S}_{3}+\ldots .+\mathrm{S}_{\mathrm{p}} \), if \( \mathrm{S}_{1} \), \( \mathrm{S}_{2}, \mathrm{~S}_{3}, \ldots . \mathrm{S}_{\mathrm{p}} \) are the sum of \( \mathrm{n} \) terms of arithmetic series whose first terms are \( 1,2,3,4, \ldots \). and whose common differences are \( 1,3,5,7, \ldots \) respectively.
a. \( \frac{n p}{2}(n p+1) \)
b 0
c. \( \frac{\mathrm{np}(\mathrm{p}+1)}{4} \)
d. \( \frac{n p^{2}}{2}(n p+1) \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2023-07-14 There are total 810 apples which are arranged in such a way that 5 apples are in the first baske... 2023-07-14 In the following questions, a statement of assertion (A) is followed by a statement of reason (R... 2023-07-14 In the following questions, a statement of assertion (A) is followed by a statement of reason (R... 2023-07-14 In the following questions, a statement of assertion (A) is followed by a statement of reason (R... 2023-07-14 In the following questions, a statement of assertion (A) is followed by a statement of reason (R... 2023-07-14 Fill in the Blanks
A man goes \( 8 \mathrm{~m} \) due south and then \( 15 \mathrm{~m} \) due we... 2023-07-14 Fill in the Blanks
The ratio of corresponding sides of two similar triangles whose areas are \( ... 2023-07-14 Find the sum of all natural numbers not greater than 1000 which are divisible by 4 but not by 8 ... 2023-07-14 Fill in the Blanks Two figures having the same shape and size are said to be 2023-07-14 Fill in the Blanks
theorem states that if a line is drawn parallel to one side of a triangle to ... 2023-07-14 Find the value of \( \mathrm{S}_{1}+\mathrm{S}_{2}+\mathrm{S}_{3}+\ldots .+\mathrm{S}_{\mathrm{p... 2023-07-14 Find the ratio of \( \mathrm{m}^{\text {th }} \) and \( \mathrm{n}^{\text {th }} \) term of an A... 2023-07-14 If the sequence \( \left(a_{n}\right) \) is defined by \( a_{1}=2, a_{n+1}=a_{n}+ \) \( 2 \mathr... 2023-07-14 The first and last term of an AP is a and \( l \) respectively. If \( \mathrm{S} \) is the sum o... 2023-07-14 Find the sum of 25 terms from the end of the A.P. 3, \( 5, \ldots, 101 \).
a. 1925
b 1940
c. 191... 2023-07-14 The next term of AP \( \sqrt{7}, \sqrt{28}, \sqrt{63} \) is
a. \( \sqrt{93} \)
b \( \sqrt{84} \)... 2023-07-14 If \( 10^{\text {th }} \) and \( 20^{\text {th }} \) term of an A.P be \( \frac{1}{20} \) and \(... 2023-07-14 Four number in an increasing A.P., are such that the product of \( 2^{\text {nd }} \) and \( 3^{... 2023-07-14 Find the sum of all two digit numbers which when divided by 4 leaves 1 as remainder.
a. 1150
b 1... 2023-07-14 If two different terms of an A.P., \( \mathrm{a}_{\mathrm{m}} \) and \( \mathrm{a}_{\mathrm{n}} ... 2023-07-14 Find the number of three digit numbers which are divisible by 11 . a. 84 b 81 c. 72 d. 83