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Well, honey, if p equals 3, then 2p squared would be 2 times 3 squared. That's 2 times 9, which equals 18. So, the value of 2p squared when p equals 3 is 18. Math doesn't have to be complicated, darling.
for prime p>= 5 p = (6n+/-1) p^2 + 2 = 36n^2+1 +/- 12n +2 = 36n^2+3 +/- 12n divisible by 3 and p^2+2 >= 27 so 2nd factor >=9 so not a prime or composite
I'll try to answer the question, "If the 5th term of a geometric progression is 2, then the product of its FIRST 9 terms is --?" Given the first term is A and the ratio is r, then the progression starts out... A, Ar, Ar^2, Ar^3, Ar^4, ... So the 5th term is Ar^4, which equals 2. The series continues... Ar^5, Ar^6, Ar^7, Ar^8, ... Ar^8 is the 9th term. The product P of all 9 terms is therefore: P = A * Ar * Ar^2 *...*Ar^8 Collect all the A's P = (A^9)*(1 * r * r^2 ...* r^8) P = A^9 * r^(0+1+2+...+8) There's a formula for the sum of the first n integers (n/2)(n+1), or if you don't know just add it up. 1+2+...+8 = 36 Therefore P = A^9 * r^36 Since 36 is a multiple of 9, you can simplify: P = (Ar^4)^9 Still with me? Remember that Ar^4=2 (a given fact). So finally P = 2^9 = 512. Cute problem.
9=15+2p-15 -15 and continue to get ur answer :)p=-2