Answer: b p+q+r.
- A b<sup>p+q+r</sup>
- B abc
- C b<sup>p+r</sup> × b<sup>q</sup>
- D abc = b<sup>p+q+r</sup>
Correct answer: A. b<sup>p+q+r</sup>
Explanation: b = ar, c = ar². a<sup>p</sup> × b<sup>q</sup> × c<sup>r</sup> = a<sup>p</sup> × (ar)<sup>q</sup> × (ar²)<sup>r</sup> = a<sup>p+q+r</sup> × r<sup>q+2r</sup>. Since p,q,r in AP: q = p+r, p+q+r = 2q+r... hmm. b<sup>p+q+r</sup> requires careful derivation.
Bar heights for AP 2, 5, 8, 11 with the common difference d=3 marked between consecutive terms.
Concept context
Arithmetic progressions, geometric progressions, and sums