Question
Decide whether the given sequence 2,4,6,8........is an A.P.
✓
Answer
$\text { Here, } \mathrm{t}_1=2, \mathrm{t}_2=4, \mathrm{t}_3=6$
$\therefore \mathrm{t}_2-\mathrm{t}_1=4-2=2$
$\mathrm{t}_3-\mathrm{t}_2=6-4=2$
$\therefore \mathrm{t}_2-\mathrm{t}_1=\mathrm{t}_3-\mathrm{t}_2=\ldots=2=\text{constant}$
The difference between two consecutive terms is constant.
$\therefore$ The given sequence is an A.P.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Write the following equation in the form $a x^2+b x+c=0$, then write the values of $a, b, c$ for each equation : P(3 + 6p) = - 5
→Which measure of central tendency can be determine graphically?
If $2x+y=7$ and $x+2y=11$, then find the value of $x+y$.
→$t_n=2 n-5$ in a sequence, find its first two terms.
→What is the maximum value of $\frac{1}{\sec\theta}?$
→In figure 3.73, seg PS is a tangent segment. Line PR is a secant.
If PQ = 3.6,
QR = 6.4, find PS.
If PQ = 3.6,
QR = 6.4, find PS.
Without actual division, show that each of the following rational numbers is a non-terminating repeating decimal:$\frac{29}{343}$
→Ratio of corresponding sides of two similar triangles is 4:7 then find the ratio of their areas = ?
Prove that:
(sec θ – cos θ) (cot θ + tan θ) = tan θ sec θ
(sec θ – cos θ) (cot θ + tan θ) = tan θ sec θ
Prove that:
$\sec ^4 A\left(1-\sin ^4 A\right)-2 \tan ^2 A=1$
→$\sec ^4 A\left(1-\sin ^4 A\right)-2 \tan ^2 A=1$